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.

Options

• 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 and 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.

Answer 1

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

Explanation:

The sequence −1, −1, −1, … −1 is an AP because the difference between consecutive terms a_n − a_n−1 = 0 is constant. The reason correctly states that the difference between consecutive terms is constant for an arithmetic progression.