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The 2nd term of an AP is 13 and its 5th term is 25. What is its 17th term? (a) 69 (b) 73 (c) 77 (d) 81

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Question

The 2nd term of an AP is 13 and its 5th term is 25. What is its 17th term?

Options

  • 69

  • 73

  • 77

  • 81

MCQ
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Solution

73

Explanation:

Let first term = a and common difference = d.

2nd term: a + d = 13.

5th term: a + 4d = 25.

Subtract: 3d = 12 → d = 4.

Then a = 13 – 4 = 9.

17th term = a + 16d

= 9 + 16 × 4 

= 9 + 64

= 73

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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 27. | Page 297
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