Question

Make  a program that resolves the following series:   $S=\sum_{n=1}^{N} \frac{1}{(3n+1)(3n+4)}$ where the user will choose N and the program will show only the final result of the sum. Programming language needed: Bash

Answer 1

summation_function () {

n = $1

sum = 0

for i in {1..n}

do

sum = sum + $(( 1 / ( ( (3*i) + 1) * ((3*i) + 4))))

done

return sum

}

the above bash program accepts one argument(value of n) and returns the summation.