## 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

1. cholo71796

Can you give us the series?

2. pooja195

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

3. Pologirl19

$\sum_{x=1}^{\infty}-4\frac{ 1 }{ 3 }^{x-1}$