Question

If 1 + x, 2 x + 1, 17 - x are in ap. Then find x

Answer 1

Answer:

x=4

Step-by-step explanation:

1+x, 2x+1, 17-x are in AP

so, d=(2x+1) - (1+x) =2x-x+1-1= x

also, d=(17-x)-(2x+1)=17-1-x-2x= 16-3x

From these equations, d=d (common difference)

So, x=16-3x

x+3x=16

4x=16

x=4