ARITHMETIC PROGRESSION !
Algebra
Level
2
If the (m)th term of an A.P. is 1/n and its( n)th term is 1/m .
then what would be its (mn)th term
The answer is 1.
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1 solution
As per given we have
1/n=a+(m-1)d ---------(1)
1/m=a+(n-1)d ----------(2) on solving 1 & 2 we have
a=d=1/mn -----(3)
now T (mn th)=a+(mn-1)d using 3 in this we have answer=1