Numerical Methods using MATLAB

Calculate the summation of the following series for proving if the series are convergent.

f = (1 / 1) + (1/ 3) + (1/ 6) + (1/ 10) + (1/ 15) + (1/ 21) + = 2 (1)

g = (1/ 1) + (1/ 2) + (1/ 4) + (1/ 8) + (1/ 16) + (1/ 32) + = 2 (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

THANKS FOR HELPING ME ( MUST USE MATLAB)