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Mathematics
Mathematics
Problem
Let
S
n
S_n
S
n
denote the sum of the first
n
n
n
terms of an arithmetic progression. The sum of the terms from the
p
th
p^{\text{th}}
p
th
term up to and including the
q
th
q^{\text{th}}
q
th
term (where
p
<
q
p<q
p
<
q
) is a)
S
q
+
S
p
−
1
S_q+S_{p-1}
S
q
+
S
p
−
1
b)
S
q
−
1
−
S
p
−
1
S_{q-1}-S_{p-1}
S
q
−
1
−
S
p
−
1
c)
S
q
−
S
p
−
1
S_q-S_{p-1}
S
q
−
S
p
−
1
d)
S
q
−
S
p
S_q-S_p
S
q
−
S
p
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