If the first term is 27 and the common ratio is 2/3, what will be the 4th term of the GP?

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UP Police SI (दरोगा) Official PYP (Held On: 24 Nov 2021 Shift 2)
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  1. 8
  2. 10
  3. 12
  4. 6

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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Given:

First term (a) = 27

Common ratio (r) = 2/3

Find the 4th term of the GP.

Formula used:

n-th term of GP = a × r(n-1)

Calculation:

4th term = 27 × (2/3)(4-1)

⇒ 4th term = 27 × (2/3)3

⇒ 4th term = 27 × (8/27)

⇒ 4th term = 8

∴ The correct answer is option (1).

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