Find the 5th term of the G.P. 52,1,......... - Mathematics

Find the 5^th term of the G.P. `5/2, 1, .........`

Sum

First term (a) = `5/2`

And common ratio (r) = `1/(5/2) = 2/5`

Now t_n = ar^{n – 1}

`=>` 5^th term = t₅

= `5/2 xx (5/2)^(5 - 1)`

= `5/2 xx (2/5)^4`

= `(2/5)^3`

= `8/125`

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