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Problem
Problem
The sum of the first
n
n
n
terms of an arithmetic sequence is given by
S
n
=
p
n
2
−
q
n
S_n=pn^2-qn
S
n
=
p
n
2
−
q
n
, where
p
p
p
and
q
q
q
are positive constants. It is given that
S
5
=
65
S_5=65
S
5
=
65
and
S
6
=
96
S_6=96
S
6
=
96
. a. Find the value of
p
p
p
and the value of
q
q
q
. b. Find the value of
u
6
u_6
u
6
.
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