English

The first term of an A.P. is $$7$$ and its 13th term is $$35$$. The common difference of the A.P. is ______.

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Question

The first term of an A.P. is $$7$$ and its 13th term is $$35$$. The common difference of the A.P. is ______.

Options

  • $$\frac{5}{3}$$

  • $$\frac{7}{2}$$

  • $$\frac{8}{3}$$

  • $$\frac{7}{3}$$

MCQ
Fill in the Blanks
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Solution

The first term of an A.P. is $$7$$ and its 13th term is $$35$$. The common difference of the A.P. is `underlinebb(7/3)`.

Explanation:

$$35 = 7 + 12d$$, so $$d = \frac{28}{12} = \frac{7}{3}$$.

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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 29. | Page 170
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