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An AP 5, 12, 19, ... has 50 terms. Its last term is ______. (a) 343 (b) 353 (c) 348 (d) 362

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Question

An AP 5, 12, 19, ... has 50 terms. Its last term is ______.

Options

  • 343

  • 353

  • 348

  • 362

MCQ
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Solution

An AP 5, 12, 19, ... has 50 terms. Its last term is 348.

Explanation:

The sequence is an AP with first term a = 5 and common difference d = 12 – 5 = 7.

Use the nth-term formula

Tn = a + (n – 1)d

For n = 50:

T50 = 5 + 49 × 7 

= 5 + 343

= 348

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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 13. | Page 297
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