Question

Prove that tm+tn + tm-n = 2tm Where m=n​

Answer 1

Answer:

Formula,

tn = a+(n−1)dt m+n

=a+[(m+n)−1]dt m−n

=a+[(m−n)−1]dt m+n −t m−n

=a+[(m+n)−1]d−a−[(m−n)−1]d

=2a+2md−2d

=2[a+(m−1)d]

=2tm

Step-by-step explanation:

Hence proved.