Write a Linux shell script that evaluates the following series 1+1/1+1/2+1/3+...+1/n, Unix program to evaluates the series

Write a Linux shell script that evaluates the following series 1+1/1+1/2+1/3+...+1/n, Unix program to evaluates the series


Program
clear
echo"Enter number upto which series to be printed"
read n
sum=1
for((i=1;i<=n;i++))
do
 sum='echo$sum +1\$i|bc-1'
done
echo$ sum


Output:
Enter number upto which series to be printed:2
2.5
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