Question

which of the following are aps √2,√8,√18,√32​

Answer 1

Answer:

√2, √8, √18, √32 ...

Here,

a2 - a1 = √8 - √2  = 2√2 - √2 = √2

a3 - a2 = √18 - √8 = 3√2 - 2√2 = √2

a4 - a3 = 4√2 - 3√2 = √2

⇒ an+1 - an is same every time.

Therefore, d = √2 and the given numbers are in A.P.

Hope it helps you

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