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Statement Based Questions :
Question consist of statement-I and statement-II.
Statement-I : The sums of n terms of two arithmetic progressions are in the ratio
(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.
(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.
Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.
Use the following
key to choose the appropriate answer.
(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanation
of the Statement-I.
(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of the
Statement-I.
(C) If Statement-I is true but the Statement-II is false
(D) If Statement-I is false but Statement-II is true
key to choose the appropriate answer.
(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanation
of the Statement-I.
(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of the
Statement-I.
(C) If Statement-I is true but the Statement-II is false
(D) If Statement-I is false but Statement-II is true
- a)a
- b)b
- c)c
- d)d
Correct answer is option 'D'. Can you explain this answer?
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Explanation:
Statement-I:
- The sum of n terms of an arithmetic progression is given by Sn = n/2 [2a + (n-1)d], where a is the first term, d is the common difference, and n is the number of terms.
- Let the sum of the n terms of the first arithmetic progression be S1 and the sum of the n terms of the second arithmetic progression be S2.
- Given that S1 : S2 = (7n + 1) : (4n + 17), we can write S1/S2 = (7n + 1)/(4n + 17).
- From the formula for Sn, we can express S1 and S2 in terms of the first terms a1 and a2, common differences d1 and d2, and number of terms n.
- By comparing the coefficients of n in the ratios, we can find the ratio of a1/a2 = 7/4.
Statement-II:
- The nth term of an arithmetic progression is given by Tn = a + (n-1)d, where a is the first term, d is the common difference, and n is the term number.
- If Sn = ax^2 + bx + c, then Tn = Sn - Sn-1 can be interpreted as the difference between the sum of n terms and the sum of n-1 terms, representing the nth term.
- This relationship is valid for arithmetic progressions, where the sum of n terms can be expressed as a quadratic function of n.
Therefore, Statement-I is true as the ratio of nth terms of the two arithmetic progressions is 7 : 4, while Statement-II is also true as it correctly explains the relationship between the sum of n terms and the nth term in an arithmetic progression. Hence, the correct answer is option 'D'.
Statement-I:
- The sum of n terms of an arithmetic progression is given by Sn = n/2 [2a + (n-1)d], where a is the first term, d is the common difference, and n is the number of terms.
- Let the sum of the n terms of the first arithmetic progression be S1 and the sum of the n terms of the second arithmetic progression be S2.
- Given that S1 : S2 = (7n + 1) : (4n + 17), we can write S1/S2 = (7n + 1)/(4n + 17).
- From the formula for Sn, we can express S1 and S2 in terms of the first terms a1 and a2, common differences d1 and d2, and number of terms n.
- By comparing the coefficients of n in the ratios, we can find the ratio of a1/a2 = 7/4.
Statement-II:
- The nth term of an arithmetic progression is given by Tn = a + (n-1)d, where a is the first term, d is the common difference, and n is the term number.
- If Sn = ax^2 + bx + c, then Tn = Sn - Sn-1 can be interpreted as the difference between the sum of n terms and the sum of n-1 terms, representing the nth term.
- This relationship is valid for arithmetic progressions, where the sum of n terms can be expressed as a quadratic function of n.
Therefore, Statement-I is true as the ratio of nth terms of the two arithmetic progressions is 7 : 4, while Statement-II is also true as it correctly explains the relationship between the sum of n terms and the nth term in an arithmetic progression. Hence, the correct answer is option 'D'.
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Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer?
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Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer?.
Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Here you can find the meaning of Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Statement Based Questions :Question consist of statement-I and statement-II.Statement-I : The sums of n terms of two arithmetic progressions are in the ratio(7n + 1) : (4n + 17), then the ratio of their nth terms is 7 : 4.Statement-II : If Sn = ax2 + bx + c, then Tn = Sn–Sn – 1.Use the followingkey to choose the appropriate answer.(A) If both Statement-I and Statement-II are true and the Statement-II is not correct explanationof the Statement-I.(B) If both Statement-I and Statement-II are true but Statement-II is correct explanation of theStatement-I.(C) If Statement-I is true but the Statement-II is false(D) If Statement-I is false but Statement-II is truea)ab)bc)cd)dCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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