Final answer:
To find the 129th term of the sequence 1.8, -0.8, -3.4, -6, we calculate the common difference and use the formula for the nth term of an arithmetic sequence. The common difference is -2.6 and the 129th term is found to be -331.0.
Step-by-step explanation:
The question is asking to find the 129th term of the sequence 1.8, -0.8, -3.4, -6. To find this term, we need to determine the common difference of the arithmetic sequence. By subtracting the second term from the first term (-0.8 - 1.8), we find the common difference to be -2.6. Once we have the common difference, we can use the formula for the nth term of an arithmetic sequence, which is an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference. Plugging in the values, we have: a129 = 1.8 + (129 - 1)(-2.6) = 1.8 + 128(-2.6) = 1.8 - 332.8 = -331.0.
Therefore, the 129th term of the sequence is -331.0.To find the 129th term of the sequence 1.8, -0.8, -3.4, -6, we need to identify the pattern in the sequence. From the given terms, we can see that each term is obtained by subtracting a constant difference from the previous term. The constant difference in this case is 1.6 (1.8 - (-0.8) = 2.6, -0.8 - (-3.4) = 2.6, -3.4 - (-6) = 2.6).So, to find the 129th term, we can use the formula:nth term = first term + (n - 1) * common differenceIn this case, the first term is 1.8 and the common difference is -1.6. Substituting these values into the formula, we have:
129th term = 1.8 + (129 - 1) * (-1.6) = 1.8 + 128 * (-1.6) = 1.8 - 204.8 = -203