Final answer:
The nth term of the given sequence -8, 0.6, 9.2, 17.8, 26.4 can be found using the formula nth term = first term + (n - 1) * common difference.
Step-by-step explanation:
The given sequence is -8, 0.6, 9.2, 17.8, 26.4.
To find the nth term of this sequence, we need to identify the pattern. In this sequence, each term is obtained by adding the previous term to a certain number. Let's observe the differences between consecutive terms:
0.6 - (-8) = 8.6
9.2 - 0.6 = 8.6
17.8 - 9.2 = 8.6
26.4 - 17.8 = 8.6
We can see that the difference between each term is a constant 8.6. So, the sequence follows an arithmetic progression with a common difference of 8.6.
To find the nth term, we can use the formula:
nth term = first term + (n - 1) * common difference
In this case, the first term is -8 and the common difference is 8.6. So, the nth term is:
nth term = -8 + (n - 1) * 8.6