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

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Question

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

Options

  • `sqrt2`

  • 1

  • `2sqrt2`

  • `-sqrt2`

MCQ
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Solution

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`

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