If the first term is 125 and the common ratio is 3/5, what will be the 4th term of the GP?

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UP Police SI (दरोगा) Official PYP (Held On: 15 Nov 2021 Shift 2)
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  1.  29
  2. 31
  3. 25
  4.  27

Answer (Detailed Solution Below)

Option 4 :  27
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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Detailed Solution

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Given:

First term (a) = 125

Common ratio (r) = 3/5

Find the 4th term (T4)

Formula used:

Tn = a × r(n-1)

Calculations:

T4 = 125 × (3/5)(4-1)

⇒ T4 = 125 × (3/5)3

⇒ T4 = 125 × (27/125)

⇒ T4 = 27

∴ The correct answer is option (4).

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