The sum of n terms of the series +1+ \frac{4}{5}+ {7}/{5^{2}}+ {10}/{5^{3}}+.... is

Correct Answer is : 54+1516(1−15n−1)−(3n−2)4.5n−1

\frac{5}{4}+ \frac{15}{16} (1- {1}/{5^{n-1}} )- {(3 n-2)}/{4 . 5^{n-1}}

\frac{5}{4}+ \frac{1}{16} (1- {1}/{5^{n-1}} )- {3 n}/{4. 5^{n-1}}

(1- {1}/{5^{n-1}} )- {(3 n+2)}/{4. 5^{n-1}}

Correct Answer is : 54+1516(1−15n−1)−(3n−2)4.5n−1

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Manipal Entrance Test 2013 Math Paper

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