English

The 8th term of an AP is 17 and its 14th term is 29. The common difference of the AP is ______. (a) 3 (b) 2 (c) 5 (d) –2

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Question

The 8th term of an AP is 17 and its 14th term is 29. The common difference of the AP is ______.

Options

  • 3

  • 2

  • 5

  • –2

MCQ
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Solution

The 8th term of an AP is 17 and its 14th term is 29. The common difference of the AP is 2.

Explanation:

(T14 – T8) = (29 – 17) = 12

⇒ (a + 13d) – (a + 7d) = 12

⇒ 6d = 12

⇒ d = `12/6`

⇒ d = 2

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Chapter 5: Arithmetic Progression - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 298]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 5 Arithmetic Progression
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 29. | Page 298
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