Question

What is the next term of AP : √2, √8, √18, .......?

Answer 1

`\sqrt {32}`

Explanation:

Next term of the given AP can be obtained by adding common difference (d) in the last term
`\sqrt {18}`

`d = √(18) - √(8) = 3 √(2) - 2 √(2) = √(2) \\ next \: term = √(18) + √(2) \\ = 3 √(2) + √(2) \\ = 4 √(2) \\ = \sqrt{ {4}^(2) * 2 } \\ = √(16 * 2) \\ \huge \red{ \boxed{next \: term = √(32) }}`