Infinite Series: Geometric Sum

Find the sum of the geometric series: 2 + 6 + 18 + ... where the common ratio is 3 and there are 5 terms.

• 242

• 234

• 216

• 248

Calculate the sum of the geometric series: 5 + 15 + 45 + ... with a common ratio of 3 and 4 terms.

• 200

• 180

• 240

• 215

Determine the sum of the geometric series: 1/2 + 1/6 + 1/18 + ... if the common ratio is 1/3 and there are 6 terms.

• 182/243

• 1/3

• 11/27

• 5/9

Find the sum of the geometric series: 4 - 2 + 1 - 1/2 + ... with a common ratio of -1/2 and 5 terms.

• 33/24

• 29/24

• 31/24

• 27/24

Calculate the sum of the geometric series: 10 - 5 + 5/2 - 5/4 + ... where the common ratio is -1/2 and there are 4 terms.

• 6.25

• 3.75

• 5.25

• 7.5

Describe the sequence, find the 5th term, and write the rule

-8, -6, -4, -2...

• geometric, a₅ = 2, a_n = 2n - 10

• geometric, a₅ = 0, a_n = -10n + 2

• arithmetic, a₅ = 2, a_n = -10n + 2

• arithmetic, a₅ = 0, a_n = 2n - 10