Question

If two, a, 16 by three forms an ap find the value of a

Answer 1

$\bold{Solution:}$

$\underline{Given,}$

2,a,16 forms an AP

=> (Common difference),d= a - 2......(i)

as well d= 16 - a ....................................(ii)

$\bold{since,\:common\: difference\:are\:equal}$

a - 2 = 16 - a

or, 2a = 18

or, a =9

$\boxed{a = 9}$