हिंदी

If (2p + 1), 10 and (5p + 5) are three consecutive terms of an AP, then p = ? (a) –1 (b) –2 (c) 1 (d) 2

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प्रश्न

If (2p + 1), 10 and (5p + 5) are three consecutive terms of an AP, then p = ?

विकल्प

  • –1

  • –2

  • 1

  • 2

MCQ
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उत्तर

2

Explanation:

For three consecutive terms of an AP the middle term equals the average of the other two.

So, `10 = ((2p + 1) + (5p + 5))/2`. 

Multiply both sides by 2:

20 = 7p + 6

⇒ 7p = 14

⇒ p = `14/7`

⇒ p = 2

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अध्याय 5: Arithmetic Progression - MULTIPLE-CHOICE QUESTIONS (MCQ) [पृष्ठ २९८]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 5 Arithmetic Progression
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 32. | पृष्ठ २९८
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