If the first term is 125 and the common ratio is 2/5, what will be the 4th term of the GP? 

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  1. 8
  2. 12
  3. 6
  4. 10

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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Concept:

If a, ar, ar2, ar3,.....,arn-1 are in GP then the nth term of GP is given by

Tn = arn-1

Given:

First term a = 125

Common ratio r = 2/5

Term n = 4 th

Calculation:

⇒ Tn = arn-1

⇒ T4 = 125 × (2/5)4-1

⇒ T4 = 125 × (2/5)3

⇒ T4 = 125 × (8/125)

⇒ T4 = 8

Hence, the 4th term of the G is "8".

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