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The 17th term of an AP exceeds its 10th term by 21. The common difference of the AP is ______. (a) 3 (b) 2 (c) –3 (d) –2

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Question

The 17th term of an AP exceeds its 10th term by 21. The common difference of the AP is ______.

Options

  • 3

  • 2

  • –3

  • –2

MCQ
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Solution

The 17th term of an AP exceeds its 10th term by 21. The common difference of the AP is 3.

Explanation:

(T17 – T10) = 21 

⇒ (a + 16d) – (a + 9d) = 21 

⇒ 7d = 21

⇒ d = `21/7`

⇒ d = 3

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Chapter 5: Arithmetic Progression - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 297]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 5 Arithmetic Progression
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 28. | Page 297
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