यदि पहला पद 125 है और सार्व अनुपात 3/5 है, तो गुणोत्तर श्रेणी (G.P.) का चौथा पद क्या होगा?

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UP Police SI (दरोगा) Official PYP (Held On: 15 Nov 2021 Shift 2)
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  1. 29
  2. 31
  3. 25
  4. 27

Answer (Detailed Solution Below)

Option 4 : 27
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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दिया गया है:

प्रथम पद (a) = 125

सार्व अनुपात (r) = 3/5

चौथा पद (T4) ज्ञात कीजिए

प्रयुक्त सूत्र:

Tn = a × r(n-1)

गणना:

T4 = 125 × (3/5)(4-1)

⇒ T4 = 125 × (3/5)3

⇒ T4 = 125 × (27/125)

⇒ T4 = 27

∴ सही उत्तर विकल्प (4) है।

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