Write for, do$-$while, and while statements to compute the following sums and products.

a$.1+2+3+$cdots$+100$

b$.5+10+15+$cdots$+50$

c$.1+3+7+15+31+$cdots$+(2^{20}-1)$

d$.1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+$cdots$+\frac{1}{15}$

e$.123$cdots$20$

f$.1248$cdots$2^{20}$

What will be the value of sum after each of the following nested loops is executed?

a$.$b$.$ sum $=0$;J$=0$;do $\{$J$++$;for $($int $1=5$;$1>$ J;$1-)$sum $=$ sum $+(1+$j$)$;$\}$ while $($J $<mtext></mtext><mn>1</mn><mn>1</mn><mi>)</mi>$;

In java