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 and d is constant.

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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 =S n - S n - 1

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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 a 21 -a 7 = 84 is 14. Reason : n th term of AP is given by a n = a + (n - 1)d

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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 where a = first term, d = common difference.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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. t n = (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

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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 =a n + 1 - a n

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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 S n is the sum of the first n terms of an A.P., then its n th term an is given by a n =S n - S n - 1 . Reason : The 10 th term of the A.P. 5, 8, 11, 14, .......... is 35.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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 where ℓ = last term.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Assertion and Reason Test: Arithmetic Progressions - 2 Free MCQ Practice Test with Solutions

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