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The Common Difference of the A.P. is 1 2 Q , 1 − 2 Q 2 Q , 1 − 4 Q 2 Q , . . . is - Mathematics

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Question

The common difference of the A.P. is \[\frac{1}{2q}, \frac{1 - 2q}{2q}, \frac{1 - 4q}{2q}, . . .\] is 

 

Options

  • −1

  • 1

  • q

  • 2q

MCQ
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Solution

Let a be the first term and d be the common difference.
The given A.P. is  \[\frac{1}{2q}, \frac{1 - 2q}{2q}, \frac{1 - 4q}{2q}, . . .\]

Common difference = d = Second term − First term
                                       = \[\frac{1 - 2q}{2q} - \frac{1}{2q}\]

                                       = \[\frac{- 2q}{2q} = - 1\]

 

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Chapter 5: Arithmetic Progression - Exercise 5.8 [Page 59]

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RD Sharma Mathematics [English] Class 10
Chapter 5 Arithmetic Progression
Exercise 5.8 | Q 37 | Page 59

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