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