How would i find a pattern for the numerator and a corresponding pattern for the denominator, each for a generic number of terms, n. For this sequence

:

-1/2+1/5+3/10+5/17+7/26

(a) sum100 is the above sum with n=100 terms

(b) sum1000 is the above sum with n = 1000 terms

how would i also find a and b?

also how would i set x to be a linearly spaced vector of N -1 points between 0 and pi not including O or pi

how would i compute a intergal in MATLAB

(this code is done in MATLAB)