Question

For an A.P, show that : (m+n)th term + (m-n)th term = 2*m th term

Answer 1

Answer:(m+n)th term + (m-n)th term = 2*m th term

Step-by-step explanation:

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

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

                       =2a+d(2m-2)

                       =2a+2d(m-1)

                       =2(a+(m-1)d)

                       =2Tm

                        = 2*m th term