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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.
Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.
- a)Both A and R are true and R is the correct explanation for A.
- b)Both A and R are true and R is not correct explanation for A.
- c)A is true but R is false.
- d)A is false but R is true.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Directions: In the following questions, A statement of Assertion (A) ...
Common difference is the difference between two successive terms in A.P.
d = 2nd term – 1st term = – 1 – (– 5) = –1 + 5 = 4 Therefore, Both A and R are true and R is the correct explanation for A.
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Most Upvoted Answer
Directions: In the following questions, A statement of Assertion (A) ...
Assertion: Common difference of the A.P: -5,-1, 3, 7,……. is 4.
Reason: Common difference of the A.P. a, a+d, a+2d, …….., is given by d = 2nd term – 1st term.
To determine the correctness of the given assertion and reason, let's analyze the given arithmetic progression (A.P): -5, -1, 3, 7,......
Analysis:
The given A.P is: -5, -1, 3, 7,......
The first term of the A.P is: -5
The second term of the A.P is: -1
The third term of the A.P is: 3
The fourth term of the A.P is: 7
We can observe that the common difference between consecutive terms is 4.
Now, let's analyze the reason provided.
Reason Analysis:
The reason states that the common difference of an A.P can be found by subtracting the first term from the second term.
According to the given A.P, the first term is -5 and the second term is -1.
So, the common difference (d) can be calculated as:
d = -1 - (-5)
= -1 + 5
= 4
The calculated value of d is 4, which matches the common difference observed in the A.P.
Conclusion:
Both the assertion and reason are true, and the reason correctly explains the assertion. Therefore, the correct answer is option 'A': Both A and R are true and R is the correct explanation for A.
Summary:
- The given A.P: -5, -1, 3, 7,...... has a common difference of 4.
- The reason provided states that the common difference of an A.P can be found by subtracting the first term from the second term, which is true for the given A.P.
- Hence, both the assertion and reason are true, and the reason correctly explains the assertion.
Reason: Common difference of the A.P. a, a+d, a+2d, …….., is given by d = 2nd term – 1st term.
To determine the correctness of the given assertion and reason, let's analyze the given arithmetic progression (A.P): -5, -1, 3, 7,......
Analysis:
The given A.P is: -5, -1, 3, 7,......
The first term of the A.P is: -5
The second term of the A.P is: -1
The third term of the A.P is: 3
The fourth term of the A.P is: 7
We can observe that the common difference between consecutive terms is 4.
Now, let's analyze the reason provided.
Reason Analysis:
The reason states that the common difference of an A.P can be found by subtracting the first term from the second term.
According to the given A.P, the first term is -5 and the second term is -1.
So, the common difference (d) can be calculated as:
d = -1 - (-5)
= -1 + 5
= 4
The calculated value of d is 4, which matches the common difference observed in the A.P.
Conclusion:
Both the assertion and reason are true, and the reason correctly explains the assertion. Therefore, the correct answer is option 'A': Both A and R are true and R is the correct explanation for A.
Summary:
- The given A.P: -5, -1, 3, 7,...... has a common difference of 4.
- The reason provided states that the common difference of an A.P can be found by subtracting the first term from the second term, which is true for the given A.P.
- Hence, both the assertion and reason are true, and the reason correctly explains the assertion.
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer?
Question Description
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer?.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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Here you can find the meaning of Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Common difference of the A.P: -5,-1, 3, 7,……. is 4.Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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