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Question

If m times the mth term of an AP is equal to n times the nth term and its (m + n)th term is x, then the value of 249678x is

A
12
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B
1
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C
-1
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D
0
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Solution

The correct option is B 1
Given:
mam=nan
m[a+(m1)d]=n[a+(n1)d]
ma+m2dmd=na+n2dnd
(mn)a+(m2n2)d(mn)d=0
(mn)[a+{(m+n)1}d]=0
a+{(m+n)1}d=0
am+n=0
x=0
249678x=2496780
=1
Hence, the correct answer is option (2).

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