Question

If a, b, c are in AP then, $a\times b,b^2,c\times b$ are also in AP?

• A. True
• B. False

Answer 1

The correct option is A

True

It is given that a, b, c are in AP.

Now by the property of AP's we know that when each term of an AP is multiplied by a constant number,
then the resulting sequence is also in an AP. In the given case, b is multiplied to all the terms of the AP.

So, the resultant sequence is an AP with common difference b x d, where d is the common difference of the previous AP.