Question

A.P. show that apt a p +a p+2q =2a p+q​

Answer 1

For A.P show that ap + ap+2q = 2ap+q

Answer 2

Answer: a+pd+qd-d = a+pd+qd-d ( Hence Proved)
~ Check the Step by Step sloution for clarity :)

Step-by-step explanation:

We can write the above question as :-

=>  { a+(p-1)*d } + { a+(p+2q-1)*d } = 2 { a + (p+q-1)*d }

=>  { a+pd-d } { a+pd+2qd-d } = 2 { a+pd+qd-d }

=>  a+pd-d+a+pd+2qd-d = 2 { a+pd+qd-d }

=>  a+a+pd+pd+2qd-d-d = 2 { a+pd+qd-d }

=>  2a+2pd+2qd-2d = 2 { a+pd+qd-d }

=>  2 { a+pd+qd-d } = 2 { a+pd+qd-d }

=>  a+pd+qd-d = a+pd+qd-d

=>  LHS = RHS

Thank You
**Please mark me the brainliest :)**