English

The A.P. $$6, 13, 20, ......., 216$$ has 31 terms. The middle term of the A.P. is ______.

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Question

The A.P. $$6, 13, 20, ......., 216$$ has 31 terms. The middle term of the A.P. is ______.

Options

  • $$91$$

  • $$97$$

  • $$107$$

  • $$111$$

MCQ
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Solution

The A.P. $$6, 13, 20, ......., 216$$ has 31 terms. The middle term of the A.P. is 111.

Explanation:

The middle term is the 16th term: $$\mathrm{T}_{16} = 6 + 15(7) = 111$$.

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Chapter 10: Arithmetic Progression - COMPETENCY-FOCUSED QUESTIONS [Page 169]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 10 Arithmetic Progression
COMPETENCY-FOCUSED QUESTIONS | Q 9. | Page 169
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