Question

What is the common difference of an AP in which a₁₈ - a₁₄ = 32 ? 

A. 8  B. - 8 C. - 4 D. 4

Answer 1

A. 8

As we know, 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

a₁₈ - a₁₄ = a + 17d - (a + 13d)

32 = 4d

d = 8

so common difference is 8