Question

If the first term of the G.P. is 16 and its sum
to infinity is
96
17
find the common ratio.​

Answer 1

Solution:

For a G.P.,

• a = 16 and S∞ = 9617

But,

» S∞ = a/(1 - r)

» 9617 = 16/(1 - r)

» 16/9617 = 1 - r

» r = 1 - 16/9617

» r = 9601/9617

Therefore, the common difference is 9601/9617.