Question

The common difference of an A.P. for which a₁₈ – a₁₄ = 32 is …………….. 

A) 8 

B) -8 

C) -4 

D) 4

Answer 1

Correct option is (A) 8

We have \(a_{18} - a_{14} =32\)

\(\Rightarrow(a+17d)-(a+13d)=32\)       \((\because a_n=a+(n-1)d)\)

\(\Rightarrow4d=32\)

\(\Rightarrow d=\frac{32}4=8\)

Hence, the common difference of given A.P. is 8.

Answer 2

Correct option is A) 8