GP ची बेरीज शोधा:

4/5 , 4/25 , 4/125 , 4/625 ,... ते n अटी.

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UP Police SI (दरोगा) Official PYP (Held On: 21st Nov 2021 shift 3)
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  1. 2/5(1-(1/5 n ))
  2. 5/4(1-(1/5n))
  3. (1-(1/5n))
  4. 4/5(1-(1/5n)) 

Answer (Detailed Solution Below)

Option 3 : (1-(1/5n))
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Detailed Solution

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दिले:

मालिका 4/5 , 4/25 , 4/125 , 4/625 ,... ते n टर्म आहे

वापरलेले सूत्र:

बेरीज = a (1 - r n ) / (1 - r )

जेथे a = प्रथम पद आणि r = सामान्य फरक

गणना:

सामान्य फरक (r) = (4/25) ÷ (4/5)

⇒ (1/5)

वरील फॉर्म्युलामध्ये r चे मूल्य टाकल्यास आपल्याला मिळते:

बेरीज = \(\frac{4}{5}\) (1 - \(\frac{1}{5}\) n ) / 1 - \(\frac{1}{5}\)

\(\frac{4}{5}\) (1- ( \(\frac{1}{5}\) ) n ) / \(\frac{4}{5}\)

⇒ (1 - ( \(\frac{1}{5}\) ) n )

म्हणून बरोबर उत्तर आहे "(1 - ( \(\frac{1}{5}\) ) n )".

 

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