Question

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

Answer 1

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