Maths-
General
Easy
Question
If a, b, c are in A.P then 
, 
are in
- A.P.
- G.P.
- H.P.
- A.G.P
Hint:
If a, b , c are in AP. We know that in AP
2 
second term = first term + third term
The correct answer is: A.P.
Given : a, b , c are in AP.
We know that in AP
2 second term = first term + third term
2b = a + c
Now,
(1) 
= = 
Let 
(2) Term2 (
) = 
Term2 () = 
Term2 () = 
Term2 () = 
Similarly,
(3) Term3 (
) = 
Let , , be in AP
We can check if they satisfy the condition 2b = a + c
2 = +
Substituting the values
2 
= 
= 
= 
Taking m common and cancelling out from both sides
= 
Thus, a, b, c are in A.P then , are in A.P.
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