Question

Show that a-b, a, a+b form consecutive term
of an
AP?
​

Answer 1

Answer:

Given-

First term = a-b

Second term= a

Third term = a+b

Now,

Second term- First term = b

Third term - Second term =b

Thus, we can say that a-b ,a, a+b form consecutive terms of AP.

Answer 2

Answer:

In an A.P.,

2nd Term - 1st Term = 3rd Term - 2nd Term

Here,

1st Term = a-b

2nd Term = a

3rd Term = a+b

LHS

a-(a-b) = a-a+b

          = b

RHS

a+b-a = b

∵ LHS = RHS,

∴ The terms are in A.P