Question

In an A.P am/an=n/m then find the value of am+n​

Answer 1

(the value of am+n=0) #

Answer 2

Step-by-step explanation:

Am/An = n/m

{a+(m-1)d}/{a+(n-1)d} = n/m

m(a+md-d) = n(a+nd-d)

ma+m²d-md = na+n²d-nd

(m-n)a + (m²-n²)d -md+nd = 0

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

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

{a + d(m+n-1)} = 0

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

Am+n = 0