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For what value of $$k$$ will $$2k + 1, 3k + 3$$ and $$5k – 1$$ be three consecutive terms of an A.P.?

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Question

For what value of $$k$$ will $$2k + 1, 3k + 3$$ and $$5k - 1$$ be three consecutive terms of an A.P.?

Options

  • $$1$$

  • $$2$$

  • $$4$$

  • $$6$$

MCQ
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Solution

6

Explanation: 

The condition is $$2(3k + 3) = (2k + 1) + (5k - 1)$$, giving $$k = 6$$.

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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 22. | Page 170
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