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The common difference of the A.P. 1/p, (1 – p)/p, (1 – 2p)/p ... is ______. - Mathematics

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Question

The common difference of the A.P. `1/p, (1 - p)/p, (1 - 2p)/p`, ... is ______.

Options

  • 1

  • `1/p`

  • –1

  • `- 1/p`

MCQ
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Solution

The common difference of the A.P. `1/p, (1 - p)/p, (1 - 2p)/p`, ... is –1.

Explanation:

Given, A.P. = `1/p, (1 - p)/p, (1 - 2p)/p ...`

∴ Common difference = `(1 - p)/p - 1/p`

= `(1 - p - 1)/p`

= `(-p)/p`

= –1

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