Question

The common difference of the AP `sqrt2, 2sqrt2, 3sqrt2, 4sqrt2,` .... is ______.

विकल्प

• `sqrt2`

• 1

• `2sqrt2`

• `-sqrt2`

Answer 1

The common difference of the AP `sqrt2, 2sqrt2, 3sqrt2, 4sqrt2,` .... is `bbunderline(sqrt2)`.

Explanation:

Given: `a_1 = sqrt2`

`a_2 = 2sqrt2`

`a_3 = 3sqrt2`

Formula: Common difference (d) = a₂ − a₁

d = `2sqrt2 - sqrt2`

= `sqrt2`