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What is the sum of this geometric series?
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What is the sum of this geometric series?

What is the sum of this geometric series?-example-1
User Brian Coolidge
by
4.8k points

1 Answer

1 vote

Answer:

  • B. 21/2

Explanation:

According to sigma notation we have a GP with:

  • The first term of 8
  • The common ratio of 1/4

Find the sum of the first 3 terms:

  • Sₙ = a₁(1 - rⁿ) / (1 - r)
  • S₃ = 8*(1 - 1/4³) / (1 - 1/4) = 8*(1 - 1/64) / (3/4) = 8*63/64 * 4/3 = 21 / 2

Correct choice is B

User Ldx
by
4.1k points
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