Question

What is the next term in the geometric sequence: 4/9 , 4/3 , 4?

A) 12
B) 16
C) 18
D) 24

Answer 1

The next term in the geometric sequence is 6.

Step-by-step explanation:

The next term in the geometric sequence is 16.

In a geometric sequence, each term is found by multiplying the previous term by a constant called the common ratio.

In this sequence, the common ratio is 3/2. To find the next term, we multiply the last term, 4, by the common ratio:

4 × 3/2 = 6.

Therefore, the next term in the sequence is 6, not 16.