Question

Given the explicit equation, identify which type of sequence it represents, then list the first three terms of the sequence. a(n)=9( 2/3)ⁿ⁻¹

A) Arithmetic sequence; 9, 6, 4
B) Geometric sequence; 9, 6, 4
C) Arithmetic sequence; 9, 15, 21
D) Geometric sequence; 9, 15, 25

Answer 1

The given equation represents a geometric sequence with the first three terms being 9, 6, and 4.

Step-by-step explanation:

The given equation is a geometric sequence.

To identify a geometric sequence, we need to check if the ratio between consecutive terms is constant. In this case, the ratio is 2/3 for every term.

The first three terms of the sequence are obtained by substituting n = 1, 2, and 3 into the equation. Therefore, the first three terms are 9, 6, 4.