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Question

Question: \[\left( y^{2} + \frac{c}{y} \right)^{5}\]...

(y2+cy)5\left( y^{2} + \frac{c}{y} \right)^{5}

A

n

B

1/n

C

20c20c

D

10c10c

Answer

20c20c

Explanation

Solution

Sol. Trick : Put 2n+11n+1\frac{2^{n + 1} - 1}{n + 1} 1, 2

At 11!(n1)!+13!(n3)!+15!(n5)!+....=\frac{1}{1!(n - 1)!} + \frac{1}{3!(n - 3)!} + \frac{1}{5!(n - 5)!} + .... =

At 2nn!\frac{2^{n}}{n!}

which is given by option (3).