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elena-s [515]
2 years ago
12

Need help with sigma notation

Mathematics
1 answer:
Solnce55 [7]2 years ago
7 0

Answer:

  • 114126  

Step-by-step explanation:

The given expression describes the GP with

<u>The first term:</u>

  • t = 80(1.23²⁻²) = 80(1.23⁰) = 80

<u>The common ratio: </u>

  • r = 1.23

It is required to find the sum of the terms from 2 (the bottom number of sigma) through 29 (the top number of sigma)

The number of terms is

  • n = 29 - 2 + 1 = 28

The sum of the first 28 terms is

  • Sₙ = t(rⁿ - 1)/(r - 1)
  • S₂₈ = 80(1.23²⁸ - 1)/(1.23 - 1) = 114125.75573 ≈ 114126 (rounded)
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