Final answer:
The 60th term of the arithmetic sequence is 1052, calculated using the formula for the nth term of an arithmetic sequence with the known first term and the common difference.
Step-by-step explanation:
To find the 60th term of the arithmetic sequence -10, 8, 26, ..., we first need to determine the common difference. The difference between successive terms is 18 (8 - (-10) = 18 and 26 - 8 = 18). With the common difference d and the first term a1 known, we can use the arithmetic sequence formula an = a1 + (n - 1)d to find the 60th term. For n = 60, the calculation is as follows:
- a60 = -10 + (60 - 1)*18
- a60 = -10 + 59*18
- a60 = -10 + 1062
- a60 = 1052
The 60th term of the given arithmetic sequence is 1052.