The sum of the first terms of an arithmetic sequence is given by

Other · Multi-part · ISC · Mathematics · Algebra · Arithmetic progressions

Problem

The sum of the first

n

terms of an arithmetic sequence is given by

S_n = pn^2 - qn

, where

p

and

q

are positive constants. It is given that

S_5 = 65

and

S_6 = 96

. (1) Find the value of

p

and the value of

q

. (2) Find the value of

u_6