The 11th term of the AP: –5, (–5/2), 0, 5/2, …is(A) –20 (B) 20

1.	The 11th term of the AP: –5, (–5/2), 0, 5/2, …is(A) –20 (B) 20 (C) –30 (D) 30
Answer» (B) 20 Explanation: First term, a = – 5 Common difference, d = 5 – (-5/2) = 5/2 n = 11 We know that the nth term of an AP is a_{n =} a + (n – 1)d Where, a = first term a_n is nth term d is the common difference a_{11 =} – 5 + (11 – 1)(5/2) a_{11 =} – 5 + 25 = 20

The 11th term of the AP: –5, (–5/2), 0, 5/2, …is(A) –20 (B) 20 (C) –30 (D) 30

Answer»

(B) 20

Explanation:

First term, a = – 5

Common difference,

d = 5 – (-5/2) = 5/2

n = 11

We know that the nth term of an AP is

a_{n =} a + (n – 1)d

Where,

a = first term

a_n is nth term

d is the common difference

a_{11 =} – 5 + (11 – 1)(5/2)

a_{11 =} – 5 + 25 = 20