Question

The first term of a geometric sequence is −2 and the common ratio is 3. What is the fourth term of the sequence?

Answer 1

Answer:

Step-by-step explanation:

The formula for a geometric sequence is

$a_n=a_1*r^{n-1}$ where n is the position in the sequence, a1 is the first number in the sequence, and r is the common ratio. For us, a1 = -2 and r = 3, n = the 4th term:

$a_4=-2*3^{4-1}$ and

$a_4=-2*3^3$ and

$a_4=-2*27$ so

$a_4=-54$

The 4th term in the geometric sequence is -54.