1. The problem asks to find the 60th term of the arithmetic sequence 4, -1, -6, ...
2. An arithmetic sequence has a constant difference between consecutive terms. The formula for the $n$th term is:
$$a_n = a_1 + (n-1)d$$
where $a_1$ is the first term and $d$ is the common difference.
3. Find the common difference $d$:
$$d = a_2 - a_1 = -1 - 4 = -5$$
4. Use the formula to find the 60th term $a_{60}$:
$$a_{60} = 4 + (60-1)(-5)$$
5. Simplify inside the parentheses:
$$a_{60} = 4 + 59 \times (-5)$$
6. Multiply:
$$a_{60} = 4 - 295$$
7. Calculate the final value:
$$a_{60} = -291$$
So, the 60th term of the sequence is $-291$.
Arithmetic Sequence 7D2405
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