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Class 10 Exam  >  Class 10 Notes  >  Mathematics (Maths) Class 10  >  Assertion & Reason Type Questions: Arithmetic Progressions

Class 10 Maths Chapter 5 Assertion and Reason Questions - Arithmetic Progressions

Q1:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: 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): 184 is the 50th term of the sequence 3, 7, 11, …………

Reason (R): The nth term of A.P. is given by an = a + (n – 1)d

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Q2:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: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.

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Q3:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: 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): Sum of first hundred even natural numbers divisible by 5 is 500.

Reason (R): Sum of first n terms of an A.P is given Class 10 Maths Chapter 5 Assertion and Reason Questions - Arithmetic Progressions l is last term

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Q4:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: 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): Sum of all 11 terms of an A.P whose middle most term is 30 is 330.

Reason (R): Sum of first n terms of an A.P is given byClass 10 Maths Chapter 5 Assertion and Reason Questions - Arithmetic Progressions l is the middle term

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Q5:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: 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): If the nth term of an A.P. is 7 – 4n, then its common differences is – 4.

Reason (R): Common differences of an A.P. is given by d = an + 1 – an

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Q6:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: 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): If five times the fifth term of an A.P. is equal to eight times its eighth term, then its 13th term is zero.

Reason (R): Common difference of the A.P. a, a + d, a + 2d, …….., is given by d = 2nd term – 1st term.

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Q7:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: 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): There will be 10 rows in the flower bed if there are 23 plants in the first row, 21 in the second row, 19 in the third and so on. Also 5 rose plants are in the last row.

Reason (R): Sum of first n terms of an A.P is given by Class 10 Maths Chapter 5 Assertion and Reason Questions - Arithmetic Progressions

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Q8:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: 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): The sum of first n terms of an A.P is given by Sn = 3n2 – 4n. Then its n term is given by the term an = 6n – 7.

Reason (R): nth term of an A.P, whose sum to n terms is Sn, is given by an = Sn – Sn – 1

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Q9:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Common difference of the AP -5, -1, 3, 7, .......... is 4.

Reason : Common difference of the AP a,ad +a , d+ 2 , .......... is given by d = 2 nd term-1st term.

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Q10:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : an - an - 1 is not independent of n then the given sequence is an AP.

Reason : Common difference d =an - an - 1 is constant or independent of n .

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Q11:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself:DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Three consecutive terms 2k +1, 3k+3and 5k -1 form an AP than k is equal to 6.

Reason : In an AP a,a +d , a+2d, .........., the sum to n terms of the AP be Class 10 Maths Chapter 5 Assertion and Reason Questions - Arithmetic Progressions and d is constant.

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Q12:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : The sum of the first n terms of an AP is given by Sn = 3n2 -4 . Then n its nth term an = 6n -7 .

Reason : n th term of an AP, whose sum to n terms is Sn , is given by an =Sn - Sn - 1

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Q13:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Common difference of an AP in which a21 -a7 = 84 is 14.

Reason : n th term of AP is given by an = a + (n - 1)d

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Q14:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Arithmetic between 8 and 12 is 10.

Reason : Arithmetic between two numbers ‘a ’ and 'b' is given as Class 10 Maths Chapter 5 Assertion and Reason Questions - Arithmetic Progressions

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Q15:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself:Direction : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Let the positive numbers a,b,c be in A.P., then 1/bc, 1/ac, 1/ab are also in A.P.

Reason : If each term of an A.P. is divided by abc, then the resulting sequence is also in A.P.

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Q16:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself:DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Sum of first 10 terms of the arithmetic progression - 0.5 , - 1.0, - 1.5 , .......... is -27.5

Reason : Sum of n terms of an A.P. is given as Class 10 Maths Chapter 5 Assertion and Reason Questions - Arithmetic Progressions where a = first term, d = common difference.

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Q17:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : The sum of the series with the nth term. tn = (9 - 5n) is (465), when no. of terms n = 15 .

Reason : Given series is in A.P. and sum of n terms of an A.P. is Class 10 Maths Chapter 5 Assertion and Reason Questions - Arithmetic Progressions

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Q18:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : If n th term of an A.P. is 7 -4n , then its common differences is -4.

Reason : Common difference of an A.P. is given by d =an + 1 - an

View Solution

Q19:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : If Sn is the sum of the first n terms of an A.P., then its nth term an is given by an =Sn - Sn - 1 .

Reason : The 10th term of the A.P. 5, 8, 11, 14, .......... is 35.

View Solution

Q20:

Question for Assertion & Reason Type Questions: Arithmetic Progressions
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Sum of first hundred even natural numbers divisible by 5 is 500.

Reason : Sum of first n -terms of an A.P. is given by Class 10 Maths Chapter 5 Assertion and Reason Questions - Arithmetic Progressions where ℓ = last term.

View Solution

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Document Description: Assertion & Reason Type Questions: Arithmetic Progressions for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The notes and questions for Assertion & Reason Type Questions: Arithmetic Progressions have been prepared according to the Class 10 exam syllabus. Information about Assertion & Reason Type Questions: Arithmetic Progressions covers topics like and Assertion & Reason Type Questions: Arithmetic Progressions Example, for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Assertion & Reason Type Questions: Arithmetic Progressions.
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