Final answer:
The 10th term of the sequence is 16.1 and the -8th term is -16.3, calculated using the given rules of the sequence.
Step-by-step explanation:
The question involves finding the 10th and -8th term of a sequence given certain parameters. Specifically, we know that the third term (n3) is 3.5 and that the terms increase by 1.8 (nt + 1 = nt + 1.8). To find the 10th term, we start from the third term and add 1.8 seven times since the 10th term is seven steps away from the third term (n10 = n3 + 7 * 1.8). Similarly, to find the -8th term, we need to work backwards from the third term, subtracting 1.8 eleven times since the -8th term is eleven steps before the third term (n-8 = n3 - 11 * 1.8).
To put this into practice, we calculate:
n10 = 3.5 + (7 * 1.8) = 3.5 + 12.6 = 16.1
n-8 = 3.5 - (11 * 1.8) = 3.5 - 19.8 = -16.3
Thus, the 10th term of the sequence is 16.1 and the -8th term is -16.3.