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Insertion of AP's between 2 Numbers

Is the sequen...

Question

Is the sequence root 3 , root 6, root9, root12 ,........... Form an arithmetic progression . give reason.

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Solution

No, They are not in AP because for being in AP the differences between two consecutive numbers(common difference) should be same.But here, they are different.
√6 - √3 = 0.717
√9 - √6 = 0.551
so here there is not a common difference
So it is not an AP

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Insertion of AP's between 2 Numbers

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