Question

Question 5
Write a menu driven program to find the sum of the following series depending on the
user choosing 1 or 2
1. S=1/4+1/8+1/12.........upto n terms
2. S=1/1!-2/2!+3/3!.......upto n terms
where ! stands for factorial of the number and the factorial value of a number is the
product of all integers from 1 to that number, e.g. 5! = 1 x 2 x 3 x 4 x 5.
(use switch-case).
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Answer 1

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$\huge\underline{\underline{\bf\red{Question}}}$

Simplify${ - ( \frac{ \sqrt{2} }{ \sqrt{3} } )}^{5} \times ( { \frac{6}{7} })^{2}$

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$\huge\underline{\underline{\bf\green{Solution}}}$

$\implies$${ - ( \frac{ \sqrt{2} }{ \sqrt{3} } )}^{5} \times ( { \frac{6}{7} })^{2}$

$\implies$$- \frac{ {2}^{2} \times \sqrt{2} }{ {3}^{2} \times \sqrt{3} } \times \frac{36}{49}$

$\implies$$- \frac{4 \sqrt{2} }{9 \sqrt{3} } \times \frac{36}{39}$

$\implies$$- \frac{4 \sqrt{2} }{ \sqrt{3} } \times \frac{4}{49}$

$\implies$$- \frac{16 \sqrt{2} }{49 \sqrt{3} }$

$\implies$$- \frac{16 \sqrt{6} }{147}$

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