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For what value of $$p$$ are $$2p + 1, 13, 5p – 3$$ three consecutive terms of an A.P.?

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Question

For what value of $$p$$ are $$2p + 1, 13, 5p - 3$$ three consecutive terms of an A.P.?

Options

  • $$0$$

  • $$1$$

  • $$2$$

  • $$4$$

MCQ
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Solution

4

Explanation: 

For consecutive A.P. terms, $$2(13) = (2p + 1) + (5p - 3)$$, which gives $$p = 4$$.

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Chapter 10: Arithmetic Progression - COMPETENCY-FOCUSED QUESTIONS [Page 170]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 10 Arithmetic Progression
COMPETENCY-FOCUSED QUESTIONS | Q 21. | Page 170
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