Question

Rewrite the following for loop into a whileloop.

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int s = 0; for (int i = 1; i <= 10; i++) {    s = s + i; }

Given variables int n and double pi, write a snippet of code that assigns to pi the approximation of π resulting from adding the first nterms in the Gregory-Leibniz series:

Given variables int areaBound and int sum, write a snippet of code that assigns to sum the result of adding up all integers of the form n²+ m² where:

both n and m are at least 1, and

n² < areaBound, and

m² < areaBound.

n² < areaBound, and

m² < areaBound.

Modify the loop to approximate pi with the Gregory-Leibniz series so that, instead of adding a given number of terms, it keeps adding terms until the difference between two consecutive estimates is less than some predefined tolerance, say double epsilon = 0.0001.