Question

program using mathlab

5. Calculation of Series Calculate the summation of the following series for proving if the series are convergent. 1 1 1 1 1 1 f = 7+3+6 + 10 + 15 + 21+ 1 1 1 1 1 1 g=i+2++3+16 +39 +... ES = 2 Make a program to calculate above series. Your m-file must use "for' or 'while. Make the following dat files and submit them. - save f with 10 time iterations on HW2_12.dat file - save g with 10 time iterations on HW2_13.dat file - save f with 50 time iterations on HW2_14.dat file - save g with 50 time iterations on HW2_15.dat file - save f with 75 time iterations on HW2_16.dat file - save g with 75 time iterations on HW2_17.dat file - save f with 100 time iterations on HW2_18.dat file

Answer 1

`Hey,

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n=10;
f=0;
s=1;
t=1;
p=1;
for i=1:n
f=f+t;
s=s+1;
p=p+s;
t=1/p;
end
save('HW2_12.dat','f','-ascii');
g=0;
for i=1:n
g=g+1/2^(i-1);
end
save('HW2_13.dat','g','-ascii');
n=50;
f=0;
s=1;
t=1;
p=1;
for i=1:n
f=f+t;
s=s+1;
p=p+s;
t=1/p;
end
save('HW2_14.dat','f','-ascii');
g=0;
for i=1:n
g=g+1/2^(i-1);
end
save('HW2_15.dat','g','-ascii');
n=75;
f=0;
s=1;
t=1;
p=1;
for i=1:n
f=f+t;
s=s+1;
p=p+s;
t=1/p;
end
save('HW2_16.dat','f','-ascii');
g=0;
for i=1:n
g=g+1/2^(i-1);
end
save('HW2_17.dat','g','-ascii');
n=100;
f=0;
s=1;
t=1;
p=1;
for i=1:n
f=f+t;
s=s+1;
p=p+s;
t=1/p;
end
save('HW2_18.dat','f','-ascii');
f
g

Kindly revert for any queries

Thanks.