Question

if n times the nth term an AP is equal to m times the mth term ,then (m+n)th term is​

Answer 1

Answer:

Thge general nth term of an AP is a + (n -1)d.

From the given conditions,

m (a + (m-1)d) = n( a + (n-1)d)

=> am + m2d - md = an + n2d - nd

=> a(m-n) + (m+n)(m-n)d - (m-n)d = 0

=> (m-n) ( a + (m+n-1)d ) = 0

Rejecting the non-trivial case of m=n, we assume that m and n are different.

=> ( a + (m + n - 1)d ) = 0

Step-by-step explanation:

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Answer 2

Answer: the (m+n) term = 0

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