Find the sum of 4 terms in a GP, given first term is 15 and common ratio is 4. 

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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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Detailed Solution

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Given:

First term of GP = 15

Common ratio of GP = 4

Formula used:

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

Calculation:

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

∴ The answer is 1275 .

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