Question

if the m^th term of an Ap is1/n and the n^th term is 1/m show that the sum of MN terms is1/2(mn+1)​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Am=1/n. 1

An=1/m. 2

From eq1

a+(m-1)d=1/n. 4

From eq1 2

a+(n-1)d=1/m. 5

Eq4-Eq5

We get

d=1/mn

Putting d=1/mn in eq 1 we get

a =1/mn now

S(mn)=mn/2{2a +(mn-1)d}

Substitute a=1/mn and d=1/mn

We get

S(mn)=1/2(mn+1)