Question

In a certain A.P., 5 times the 5^th term is equal to 8 times the 8^th term, then its 13^th term is

• A. 0
• B. – 1
• C. – 12
• D. – 13

Answer 1

Answer: (A)

0

Answer 2

We have $5T_{5} = 8T_{8}$

Let a and d be the first term and common difference respectively

∴ $5\{ a + (5 - 1)d\} = 8\{ a + (8 - 1)d\}$

⇒ $3a + 36d = 0$

⇒ $a + 12d = 0$, i.e. $a + (13 - 1)d = 0$.

Hence 13^th term = 0