Question

17. For an A.P., show that:
(m + n)th term + (m - nth term
= 2 x mth term​

Answer 1

Step-by-step explanation:

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

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

Adding both = 2a + (m+n-1+m-n-1)d

= 2a + 2(m-1)d

= 2(a + (m-1)d)

= 2(mth term)