Question

Assertion (A): The 9th term of the AP 37, 33, 29, 25, ... is –5.

Reason (R): The nth term of the AP with first term a and common difference d is given by $$T_{n} = a + (n - 1)d.$$

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

• Assertion (A) is true and Reason (R) is false.

• Assertion (A) is false and Reason (R) is true.

Answer 1

Assertion (A) is false and Reason (R) is true.

Explanation:

Step 1 – Assertion: A is false. Here, $$a = 37$$ and $$d = 33 - 37 = -4$$, so $$T_{9} = 37 + (9 - 1)(-4) = 5,$$ not $$-5$$.

Step 2 – Reason: R is true. It states the formula for the nth term of an AP.