Find the sum of 3 + 32 + 33 + .......... + 38.

This question was previously asked in
SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 24 Jun, 2024 Shift 2)
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  1. 9840
  2. 6561
  3. 6560
  4. 3280

Answer (Detailed Solution Below)

Option 1 : 9840
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Detailed Solution

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Given:

Find the sum of 3 + 32 + 33 + .......... + 38.

Formula used:

Sum of geometric series: S = a(1 - rn) / (1 - r)

Where,

a = first term, r = common ratio, n = number of terms

Calculation:

Here, a = 3, r = 3, and n = 8

S = 3(1 - 38) / (1 - 3)

⇒ S = 3(1 - 6561) / (1 - 3)

⇒ S = 3(-6560) / (-2)

⇒ S = 3 × 3280

⇒ S = 9840

∴ The correct answer is option 1.

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