Question

if in an a.p.
an=m
am=n
a(n+m)=?
​

Answer 1

Answer:

0

Step-by-step explanation:

am = a + (m – 1)d

an = a + (n - 1)d

It is given that

m(am) = n(an)

m{a + (m – 1)d} =n{a+ (n – 1)d}

ma + m(m – 1)d = na + n(n – 1)d

ma — na = = d(n² – n – m² +m)

a(m – n) = d(n – m)(m +n – 1)

a = -d(m +n - 1)

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

Now (m + n)th term is

a(m+n) = a+(m+n – 1)d

= 0