Question

if in an A.P .,
$mt_{m} = nt_{n}$
then show that
$t_{m + n} equal \to \ 0$
​

Answer 1

Answer:

Solution

am

=a+(m−1)d=n.

an

=a+(n−1)d=m.

m−n=a+(n−1)d−a−(m−1)d

m−n=−d(m−n)

∴d=−1

From (1)

a=m+n−1

ap

=a+(p−1)d

=m+n−1+(p−1)(−1)

=m+n−p

Hence, this is the answer.

Step-by-step explanation:

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