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Nth Term of GP

Find the 20th...

Question

Find the 20^th and n^thterms of the G.P.

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Solution

The given G.P. is

Here, a = First term =

r = Common ratio =

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20^{t h}

n^{t h}

terms of the G.P.

\frac{5}{2}, \frac{5}{4}, \frac{5}{8}, . . .

20^{t h}

n^{t h}

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5, 25, 125, . . . .

Q. The twentieth term of the GP

\frac{5}{2}, \frac{5}{4}, \frac{5}{8}

10^{t h}

n^{t h}

terms of the G.P.

5, 25, 125, . . .

n^{t h}

\frac{3}{2}, \frac{3}{4}, \frac{3}{8}, . . .

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