पचमढ़ी अर्थ जय मंडल में कौन सी जनजाति रहती है
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Explanation:
ANSWER
Let a be the first term and d be the common difference of the given A.P. Then, S
m
=S
n
.
⟹
2
m
{2a+(m−1)d}=
2
n
{2a+(n−1)d}
⟹2a(m−n)+{m(m−1)−n(n−1)}d=0
⟹2a(m−n)+{(m
2
−n
2
)−(m−n)}d=0
⟹(m−n){2a+(m+n−1)d}=0
⟹2a+(m+n−1)d=0 [∵m−n
=0] ...(i)
Now,
S
m+n
=
2
m+n
{2a+(m+n−1)d}
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