Question

this assignment you will write two functions. The first function must calculate and return the exponent of the highest term in the series 2, k=0,1,2,3,..., such that the sum of the terms with exponents from 0 to k just exceed a given value n. In other words, find (and return) the smallest k such that ke 2 >n (or, expanding the summation notation, 2° +2° +22 + ... +2k >n). You are required to use a while loop in this function to find the value of k to return. For example, suppose that the given input value is n = 12. Then the number k returned would be 3 because - 2 = 2° +2° +2° +23 = 1+2+4+8 = 15 > n = 12, and, 22,2 = 7<n= 12. 2. The second function must calculate the sum the first n terms in the same series. You are required to use a for loop in this function to calculate the sum. For example, suppose that the function is given n = 4. Then the value returned from this second function would be 15 as the sum of the first four terms in the series is 15: - 2 = 20 = 2° + 21 + 22 +23 = 1+2+4+8 = 15 je both of your functions good mnemonic names (i.e. names that ect what the function does). ting scule your functions to find the number of terms and the series m for the values (the first row is an example): Cunanane -

Matlab function to solve an inequality that has a summation problem on one side. I have to write a function that uses a while loop and determines the biggest exponent value(k) in the summation out = symsum(2^i,i,o,k) that exceeds the input n in the inequality out > n so i need it to test the values of k from 1 on until out is the closest over n it can be.

Answer 1

Problem 1

MatLab program

clear all
clc
% input the value of sum
n=input('Enter the value of n: ');
total=0;
k=0;
while n>total
    total=total+2^k;
    k=k+1;
end
k=k-1;
fprintf('\nNo. of terms=%d',k);

Screenshot

1 clear all 2 clc 3% input the value of sum 4 n=input('Enter the value of n: '); 5 total=0; 6 k=0; 7 while n>total total=total+2^k; 9 k=k+1; 10 end 11 krk-1; 12 fprintf('\nNo. of terms=%d', k);

Save the above program and execute it.

Result

Enter the value of n: 12 No. of terms=3 >>

Problem 2

MatLab program

clear all
clc
% input the value of no. of terms
k=input('Enter the value of k: ');
% sum is zero initially
n=0;
for i=0:k-1
    n=n+2^i;
end
fprintf('\nSum of terms=%d',n);

Screenshot

1 clear all 2 clc 3% input the value of no. of terms 4 k=input('Enter the value of k: '); 5% sum is zero initially 6 n=0; 7 for i=0:k-1 8 n=n+2^i; 9 end 10 fprintf("\nSum of terms=%d',n);||

Save the above program and execute it.

Result

Enter the value of k: 4 Sum of terms=15 >>

I hope this will help you.