Question

Write the value of x for which 2x, x+10 and 3x+2 are in AP.​

Answer 1

The common difference of AP,

x+10-(2x) = 10-x.

so from the AP,

x+10 + common difference = 3x+2

x+10+ 10-x = 3x+2

20=3x+2

18=3x

x=6.