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Pologirl19

Consider the infinite geometric series a. Write the first four terms of the series. b. Does the series diverge or converge? c. If the series has a sum, find the sum.

  • one year ago
  • one year ago

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  1. cholo71796
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    Can you give us the series?

    • one year ago
  2. pooja195
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    a. a(n) = -4(⅓) ^ (n - 1) a(1) = -4 a(2) = -4 / 3 a(3) = -4 / 9 a(4) = -4 / 27 a(5) = -4 / 81 b. The sum converges because -1 < r < 1. c. Use the sum to infinity formula to find the sum: S = a / (1 - r) S = -4 / (1 - ⅓) S = -4 / ⅔ S = -4 ˣ 3 / 2 S = -6

    • one year ago
  3. Pologirl19
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    \[\sum_{x=1}^{\infty}-4\frac{ 1 }{ 3 }^{x-1}\]

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