Use Matlab for the following question:

a) Use a while loop to determine how many terms in the series 2^2k, k = 1, 2, 3, ...., are required for the sum of the terms to exceed 4000. What is the sum for this number of terms? b) One bank pays 7.5 percent annual interest, while a second bank pays 5.5 percent annual interest. Determine how much longer it will take to accumulate at least $60000 in the second bank account if you deposit $2000 initially and $1000 at the end of each year