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Mathematics
Problem
If
a
p
a_p
a
p
and
a
q
a_q
a
q
are the
p
p
p
th and
q
q
q
th terms of an arithmetic progression (
p
≠
q
p \neq q
p
=
q
), which of the following correctly gives the common difference
d
d
d
? a)
a
q
−
a
p
q
−
p
\dfrac{a_q - a_p}{q-p}
q
−
p
a
q
−
a
p
b)
a
q
−
a
p
q
\dfrac{a_q - a_p}{q}
q
a
q
−
a
p
c)
a
q
−
a
p
p
+
q
\dfrac{a_q - a_p}{p+q}
p
+
q
a
q
−
a
p
d)
a
p
−
a
q
q
−
p
\dfrac{a_p - a_q}{q-p}
q
−
p
a
p
−
a
q
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