Evaluate the related series of each sequence. 1) 2, 12, 72, 432. 2) −1, 5, −25, 125. 3) −2 ...

Given the explicit formula for a geometric sequence find the common ratio, the term named in the problem, and the recursive formula.

7) A population of ants is growing at a rate of 8% a year. If there are 160 ants in the initial population, find the number of ants after 6 years.

In a geometric sequence, the first term is 6, the common ratio is 2, and the nth term is 192. Find the sum of the first n terms. In a geometric progression, the ...

6) A geometric series has a sum of 1365. Each term increases by a factor of 4. If there are 6 terms, find the value of the first term. Answers.

The common ratio of a geometric series is 1. 2 and the sum of its first three terms is 98 . a) Find the first term of the series. b) Determine the sum to ...

4. Given the first term, a, the common ratio, r, and the number of terms, n, find the sum of each of the following geometric series.

Determine if the problem is a sequence or series. • Determine if the problem is arithmetic or geometric. • Construct the formula using the given information in ...

10. The first and fourth terms of a geometric series are 768 and −96 respectively. a Find the common ratio of the series. b Find the tenth term of the series.

Given two terms in a geometric sequence find the explicit formula and the recursive formula. 1) a. 3 = −50 and a. 4. = −250. 2) a.