English

The 7th term of an A.P. is $$4$$ and its common difference is $$-4$$. The first term of the A.P. is ______.

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Question

The 7th term of an A.P. is $$4$$ and its common difference is $$-4$$. The first term of the A.P. is ______.

Options

  • $$32$$

  • $$28$$

  • $$24$$

  • $$36$$

MCQ
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Solution

The 7th term of an A.P. is $$4$$ and its common difference is $$-4$$. The first term of the A.P. is 28.

Explanation:

Since $$\mathrm{T}_{7} = a + 6d = 4$$, we get $$a - 24 = 4$$, hence $$a = 28$$.

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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 27. | Page 170
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