यदि एक गुणोत्तर श्रेढ़ी (GP) का प्रथम पद 15 और सार्व अनुपात 4 है, तो इसके 4 पदों का योगफल ज्ञात कीजिए।

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UP Police SI (दरोगा) Official PYP (Held On: 13th Nov 2021 Shift 2)
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  1. 1275 
  2. 1274
  3. 1277
  4. 1276

Answer (Detailed Solution Below)

Option 1 : 1275 
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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दिया गया है:

गुणोत्तर श्रेढ़ी (GP) का प्रथम पद = 15

गुणोत्तर श्रेढ़ी (GP) का सर्वानुपात = 4

प्रयुक्त सूत्र:

\(S_n=a_1\times \dfrac{(r^n-1)}{(r-1)}\)

गणना:

\(S_4=15\times \dfrac{(4^4-1)}{(4-1)}\) \(= \dfrac{15\times 255}{3} = 1275\)

∴ उत्तर 1275 है।

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