Question

Assertion(A): The sequence −1, −1 − 1, . . . , −1 is an AP. 

Reason(R): In an AP, a_n − a_n−1 is constant where n ≥ 2 and n ∈ N

Choose the correct option: 

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

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

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

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

Answer 1

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

Because the sequence $-1,-1,-1,\dots$ meets the condition in Reason (R), and the difference between consecutive terms is constant (0), Reason (R) correctly explains Assertion (A).