CBSE Class 10 Answered
if m times the m th term of an AP is equal to n times the n th term, show that the (m+n) th term of the AP is zero
Asked by prassanna.j | 13 Nov, 2023, 23:23: PM
Let a be the first term of Arithmetic Progression( AP ) and d be the common difference .
m-th term of AP is

m times of m-th term of AP is

n-th term of AP is

m times of m-th term of AP is

If ( m tm ) = ( n tn ) then from eqn.(1) and (2) , we get


Dividing by (m-n) , we get

LHS of above expression is (m+n)th term of AP , i.e., t(m+n)
Hence (m+n)th term of AP is zero
Answered by Thiyagarajan K | 14 Nov, 2023, 11:07: AM
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