fraction numerator 5 cross times 25 to the power of n plus 1 end exponent minus 25 cross times 5 to the power of 2 n end exponent over denominator 5 cross times 5 to the power of 2 n minus 3 end exponent minus left parenthesis 25 right parenthesis to the power of n plus 1 end exponent end fraction

Asked by prahladsumi | 5th Feb, 2020, 06:24: PM

Expert Answer:

begin mathsize 16px style fraction numerator 5 cross times 25 to the power of straight n plus 1 end exponent minus 25 cross times 5 to the power of 2 straight n end exponent over denominator 5 cross times 5 to the power of 2 straight n minus 3 end exponent minus 25 to the power of straight n plus 1 end exponent end fraction end style
begin mathsize 16px style equals fraction numerator 5 cross times open parentheses 5 squared close parentheses to the power of straight n plus 1 end exponent minus 5 squared cross times 5 to the power of 2 straight n end exponent over denominator 5 cross times 5 to the power of 2 straight n minus 3 end exponent minus open parentheses 5 squared close parentheses to the power of straight n plus 1 end exponent end fraction end style
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begin mathsize 16px style equals fraction numerator 5 to the power of 2 straight n plus 2 end exponent open parentheses 5 minus 1 close parentheses over denominator 5 to the power of 2 straight n end exponent open parentheses begin display style 1 over 25 end style minus 25 close parentheses end fraction end style
begin mathsize 16px style equals fraction numerator 25 cross times 4 over denominator 1 minus 625 end fraction cross times 25 equals fraction numerator 2500 over denominator negative 624 end fraction equals fraction numerator negative 625 over denominator 131 end fraction end style

Answered by Sneha shidid | 6th Feb, 2020, 09:57: AM