If the first term is 216 and the common ratio is 5/6, what will be the 4th term of the GP?

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  1. 127
  2. 129
  3. 125
  4. 123

Answer (Detailed Solution Below)

Option 3 : 125
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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 = 216

Common ratio = 5/6

Find the 4th term.

Formula Used:

nth term of GP = a × rn-1

Calculation:

4th term = a × r4-1

⇒ 4th term = 216 × (5/6)3

(5/6)3 = (5 × 5 × 5) / (6 × 6 × 6)

⇒ (5/6)3 = 125 / 216

⇒ 4th term = 216 × (125 / 216)

⇒ 4th term = 125

Therefore, the 4th term of the GP is 125.

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