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Which term of the AP 25, 20, 15, ... is the first negative term? (a) 10th (b) 9th (c) 8th (d) 7th

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Question

Which term of the AP 25, 20, 15, ... is the first negative term?

Options

  • 10th

  • 9th

  • 8th

  • 7th

MCQ
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Solution

7th

Explanation:

Let Tn < 0.

Then, 25 + (n – 1) × (–5) < 0. 

∴ 30 < 5n

⇒ 5n > 30 

⇒ n > 6

So, the required term is 7th.

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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 21. | Page 297
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