Permutations and Combinations

Permutations and Combinations

Question

Find the 10th term of the series 5 + 25 + 125 + ....... . Also, find its wth term.

Answer

The given series is:
                           5 + 25 + 125 + .........., It is a G.P.
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#6 {main}</pre>
                  10th term = straight t subscript 10 space equals space ar to the power of 10 minus 1 end exponent space equals space ar to the power of 9 space equals space 5 left parenthesis 5 right parenthesis to the power of 9 space equals space 5 to the power of 10
                  nth term = straight t subscript straight n space equals space ar to the power of straight n minus 1 end exponent space equals space 5 left parenthesis 5 right parenthesis to the power of straight n minus 1 end exponent space equals space 5 to the power of straight n

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