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Question

If a,b,c are in AP then,a×b,b2,c×b are also in AP.


A

True

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B

False

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Solution

The correct option is A

True


Given that a,b,c are in AP.

When each term of an AP is multiplied by a constant number, then the resulting sequence is also in an AP by the property of AP.

Here, all the three terms in the AP is multiplied by a constant 'b'.

Therefore, the resulting sequence is also an AP.


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