Question

The sum of the second and 3rd terms of a G.P is six times the nth term. Find
a)the possible values of common ratio if the 2nd term is 8 and common ratio is positive, find first 6 terms.

Answer 1

Step-by-step explanation:

let the first term of a gp=a

and common ratio=r

ar+ar^2=6×ar^n-1

ar=8

a=8/r

8+ar^2=6×ar^n-1

8+8/r×r^2=6×8/r×r^n-1

8+8×r=6×8×r^n-2

1+r=6×r^n-1