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

Question

Philoid · Accepted Answer

Terms are in A.P. if common difference (d) is same between two continuous numbers.

x + 10 – 2x = 3x + 2 – (x + 10)

10 – x = 2x – 8

18 = 3x

x= 6

So the terms in A.P. are: 2(6), 6 + 10, 3(6) + 2

= 12, 16, 20