1
AssignmentMultiple Select

Finite Geometric Series

Question 1 • TX-Pre-Calculus

Which of the following show a geometric series? Select all that apply.

Answer
A
2 + 3 + 4.5 + 6.75 + …
B
2 + 2.5 + 3 + 3.5 + …
C
6 + 7 + 9 + 12 + …
D
4 + 8 + 16 + 20 + …
E
8 + 4 + 2 + 1 + …

Explanation

A geometric series has a constant ratio between consecutive terms. In A, each term is multiplied by 1.5: 3 ÷ 2 = 4.5 ÷ 3 = 6.75 ÷ 4.5. In E, each term is multiplied by 1/2: 4 ÷ 8 = 2 ÷ 4 = 1 ÷ 2. The other choices do not keep the same ratio between consecutive terms.

AI-written and checked against the verified answer.

Next