Question

What is the common difference of an AP in which $a_{18}-a_{14}=32?$
(a) 8 (b) -8 (c) 4 (d) -4

Answer 1

Let common difference be d.
t(18)=a+17 d
t(14)=a+13 d
a+17d - (a+13d) =32
a+17d - a - 13d =32
17d - 13d = 32
4d = 32
d=32/4
d=8
common difference=8