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The Common Difference of the A.P. 1 3 , 1 − 3 B 3 , 1 − 6 B 3 , . . . is - Mathematics

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प्रश्न

The common difference of the A.P.

\[\frac{1}{3}, \frac{1 - 3b}{3}, \frac{1 - 6b}{3}, . . .\] is 
 

पर्याय

  • \[\frac{1}{3}\]

     

  • \[- \frac{1}{3}\]

     

  • b

  • b

MCQ
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उत्तर

Let a be the first term and d be the common difference.
The given A.P. is   \[\frac{1}{3}, \frac{1 - 3b}{3}, \frac{1 - 6b}{3}, . . .\]

Common difference = d = Second term − First term
                                       = \[\frac{1 - 3b}{3} - \frac{1}{3}\]

                                       = \[\frac{- 3b}{3} = - b\]

 

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पाठ 5: Arithmetic Progression - Exercise 5.8 [पृष्ठ ५९]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 5 Arithmetic Progression
Exercise 5.8 | Q 38 | पृष्ठ ५९

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