Question

The first two terms of a G.P. are 125 and 25 respectively. Find the 5^th and the 6^th terms of the G.P.

Answer 1

First term (a) = 125 

And common ratio (r) = `25/125 = 1/5`

Now t_n = ar^{n – 1}

`=>` 5^th term = t₅

= `125 xx (1/5)^(5 - 1)`

= `125 xx (1/5)^4`

= `125 xx 1/625`

= `1/5`

`=>` 6^th term = t₆

= `125 xx (1/5)^(6 - 1)`

= `125 xx (1/5)^5`

= `125 xx 1/3125`

= `1/25`