Rewrite the following for loop into a while loop. 1 2 3 4 int s = 0; for (int i

Question

Rewrite the following for loop into a whileloop.

1

2

3

4

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 resulting from adding the first nterms in the Gregory-Leibniz series:

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.

1

2

3

4

int s = 0;

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

   s = s + i;

}

Explanation / Answer

1.

int s = 0;

int i = 1;

while(i <= 10) {

   s = s + i;

i++;

}

2.

double pie = 0;

int i = 0;

while(i <= n) {

if(i % 2 == 0){

pie = pie + (1.0/(2*i + 1));

}else{

pie = pie - (1.0/(2*i + 1));

}

}

pie = 4*pie;

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