Question

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 24, 16, 32/3 ... Find the 9th term.

Answer 1

To find the 9th term of the sequence, multiply each term by 2/3 to continue the pattern.

Step-by-step explanation:

To find the 9th term of the sequence, we need to determine the pattern. Looking at the first three terms, we can see that each term is obtained by multiplying the previous term by a certain factor:

24 × (2/3) = 16
16 × (2/3) = 32/3

So, the pattern is to multiply each term by 2/3. We can continue this pattern to find the 9th term:

(32/3) × (2/3) × (2/3) × (2/3) × (2/3) × (2/3) × (2/3) × (2/3) × (2/3) = 36864/19683

Rounding to the nearest thousandth, the 9th term is approximately 1.872.