Question

The first three terms of a sequence are given. Round to the nearest thousandth if necessary. Find the 8th term in 15, 6, 2.4...​

A) 0.094
B) 0.037
C) 0.014
D) 0.006

Answer 1

To find the 8th term of the sequence, multiply the previous term by a constant factor of 0.4. The 8th term is 0.0064.

Step-by-step explanation:

To find the 8th term of the sequence, we need to find the pattern in the given terms. Looking at the first three terms, we can see that each term is obtained by multiplying the previous term by a constant factor of 0.4. So, the 4th term would be 2.4 x 0.4 = 0.96, the 5th term would be 0.96 x 0.4 = 0.384, and so on. Using this pattern, we can find the 8th term: 2.4 x (0.4)^5 = 0.0064.