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prisoha [69]
2 years ago
6

Can u please help me??

Mathematics
1 answer:
frez [133]2 years ago
3 0

Answer:

<u>Given GP:</u>

  • tₙ = (1/3)ⁿ⁻¹

<u>We see that:</u>

  • t₁ = 1, r = 1/3

<u>Sum of  n terms:</u>

  • Sₙ = t₁(1 - rⁿ)/(1 - r)
  • Sₙ = [1 - (1/3)ⁿ] / (1 - 1/3) = [1 - (1/3)ⁿ] / (2/3) = 3/2 [1 - (1/3)ⁿ]
  • Sₙ = 3/2 [1 - (1/3)ⁿ]
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