MATLAB Use a while loop to determine how many terms in the s

MATLAB

Use a while loop to determine how many terms in the series2^k, k = 1, 2, 3, . . . , are required for the sum of the terms to exceed 2000. What is the sum for this number of terms?

k= 10, sum=?

Solution

Solution :

We can write a script for this as

sum = 0;

k = 0;
while sum <= 2000
k = k + 1;
sum = sum + 2^k;
end
k
sum

And thus the sum = 2046