1.

M times the 'm'th term is equal to n times the 'n'th term.show that its (m+n) Term=0????

Answer»

Step-by-step EXPLANATION:

FORMULA:

t

n

=a+(n−1)d

Given,

m×t

m

=n×t

n

m[a+(m−1)d]=n[a+(n−1)d]

am+(m

2

−m)d−an−(n

2

−n)d=0

a(m−n)+d[(m

2

−n

2

)−(m−n)]=0

(m−n)[a+d((m+n)−1)]=0

a+[(m+n)−1]d=0

⇒t

m+n

=0



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