Question

in Ap multiplying by M with mth term and
multiplying by N with Nth term . Let two terms
are equal . Find the (M+N)th term..​

Answer 1

Answer:

hope it helps.........................

Answer 2

Step-by-step explanation:

Given:- m(tm) = n(tn)

m[ t + (m-1)d ] = n[ t + (n-1)d ]

tm + m^2d - md = tn + n^2d - nd

tm - tn + m^2d - n^2d - md + nd = 0

t( m-n ) + d( m^2 - n^2) - d( m-n) = 0

t(m-n) + d[(m+n)(m-n)] -d(m-n) = 0

(m-n) { t + d ( m+n ) - d } = 0

t + ( m + n - 1 ) d = 0

t ( m + n) th = 0.

hence, (m + n ) th term is zero.