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The $$n$$th term from the end of an A.P. whose first term, last term and common difference are $$a$$, $$l$$ and $$d$$ respectively, is given by:

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Question

The $$n$$th term from the end of an A.P. whose first term, last term and common difference are $$a$$, $$l$$ and $$d$$ respectively, is given by:

Options

  • $$l + (n + 1)d$$

  • $$l - (n - 1)d$$

  • $$l + (n - 1)d$$

  • $$l - (n + 1)d$$

MCQ
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Solution

l – (n – 1)d

Explanation:

Counting backward from the last term, the nth term from the end is $$l - (n - 1)d$$.

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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 2. | Page 169
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