यदि पहला पद 27 है और सार्व अनुपात 2/3 है, तो गुणोत्तर श्रेढ़ी (G.P.) का चौथा पद क्या होगा?

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UP Police SI (दरोगा) Official PYP (Held On: 24 Nov 2021 Shift 2)
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  1. 8
  2. 10
  3. 12
  4. 6

Answer (Detailed Solution Below)

Option 1 : 8
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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:

प्रथम पद (a) = 27

सार्व अनुपात (r) = 2/3

गुणोत्तर श्रेणी का चौथा पद ज्ञात कीजिए।

प्रयुक्त सूत्र:

गुणोत्तर श्रेणी का n-वाँ पद = a × r(n-1)

गणना:

चौथा पद = 27 × (2/3)(4-1)

⇒ चौथा पद = 27 × (2/3)3

⇒ चौथा पद = 27 × (8/27)

⇒ चौथा पद = 8

∴ सही उत्तर विकल्प (1) है।

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