Question

for what value of x the number -2 / 7,x ,- 7 / 2 in GP

Answer 1

Let r be the common ratio
If in GP then
-7/2 = -2/7 × (r^2)
Hence r^2 = 49/4
Therefore r = 7/2 or - 7/2
If r = 7/2, then x = - 2/7 × r = - 2/7 × 7/2 = - 1
Else if r = - 7/2, x = - 2/7 × - 7/2 = 1