mn??
Algebra
Level
2
If the mth term of an A.P is 1/n and the nth term is 1/m , then its mnth term is:
The answer is 1.
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Nth term of a ap series is a+(n-1)d Where a is the 1st term and d is the difference
Here, a+(n-1)d=1/m and a+(m-1)d=1/n From these two equations d=1/mn And a=1/mn
Now mnth term is a+(mn-1)d =1/mn +(mn-1)/mn = 1