CBSE Class 10 Answered
Hi sir!!
Asked by dhairya | 15 Jun, 2009, 03:47: PM
Expert Answer
Let the forst term of the A.P. is a and the common diff be d
So the nth term of the A.P. is
nth term =a+[(n-1)d]
so
the mth term is
mth term =a+[(m-1)d]
acc to question,
m times the mth term = n times the nth term
So, we have
m[a+(m-1)d]=n[a+(n-1)d]
this gives
a[m-n] +d[m(m-1)-n(n-1)]=0
i.e.
remember we have assumed that m is not equal to n, so the factor m-n is not equal to zero. Hence the answer.
Answered by | 15 Jun, 2009, 07:24: PM
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