गुणोत्तर श्रेणी में 5 पदों का योग ज्ञात कीजिए, दिया गया पहला पद 14 है और सार्व अनुपात 5 है।

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UP Police SI (दरोगा) Official PYP (Held On: 25th Nov 2021 shift 3)
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  1. 13934
  2. 11934
  3. 12934
  4. 10934

Answer (Detailed Solution Below)

Option 4 : 10934
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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Detailed Solution

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दिया गया है:

पहला पद (a) = 14

सार्व अनुपात (r) = 5

प्रयुक्त सूत्र:

n पदों के लिए योग = \(a\times \dfrac{(r^n -1)}{(r-1)} \)

गणना:

Sn = \(a\times \dfrac{(r^n -1)}{(r-1)} \)

⇒ \(14\times \dfrac{(5^5-1)}{(5-1)}\) 

⇒ \(14\times \dfrac{3124}{4}\) = 10934

∴ उत्तर 10934 है।

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