English

The first three terms of an A.P. are $$3y – 1, 3y + 5$$ and $$5y + 1$$ respectively. Then, the value of $$y$$ is ______.

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Question

The first three terms of an A.P. are $$3y - 1, 3y + 5$$ and $$5y + 1$$ respectively. Then, the value of $$y$$ is ______.

Options

  • $$1$$

  • $$5$$

  • $$8$$

  • $$3$$

MCQ
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Solution

The first three terms of an A.P. are $$3y - 1, 3y + 5$$ and $$5y + 1$$ respectively. Then, the value of $$y$$ is 5.

Explanation:

For an A.P., $$2(3y + 5) = (3y - 1) + (5y + 1)$$, giving $$6y + 10 = 8y$$ and $$y = 5$$.

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Chapter 10: Arithmetic Progression - COMPETENCY-FOCUSED QUESTIONS [Page 171]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 10 Arithmetic Progression
COMPETENCY-FOCUSED QUESTIONS | Q 35. | Page 171
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