Question

Find common difference of an AP in which a18-a14=32​

Answer 1

a - 17d - a + 13d = 32

-4d = 32

d = -8

Answer 2

Step-by-step explanation:

Hey mate

I will help

D=?

We have formula to find Common difference, d,

That is

d=a2-a1

It is given that

a18-a14=32

WE CAN WRITE

a18= a+17d

Also

a14=a+13d

Therefore,

a+17d -( a+13d )=32

a+17d - a -13d = 32

There a will cancel

Now remaining is

17d - 13d = 32

4d = 32

d=8

Therefore common difference is 8