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Find the 60 th term of the arithmetic sequence -14,-25,-36,......

A) -663
B) -554
C) -779
D) -936

1 Answer

3 votes

Final answer:

The 60th term of the provided arithmetic sequence is found using the formula for the nth term of an arithmetic series, resulting in -663.

Step-by-step explanation:

The sequence you've provided is an arithmetic sequence, meaning that each term is a fixed number apart from the previous term. This fixed number is called the common difference. To find the 60th term, we first need to find the common difference and then apply the formula for the nth term of an arithmetic sequence, which is:
a_n = a_1 + (n - 1)d

Looking at the first two terms, -14 and -25, we can see that the common difference (d) is:
d = -25 - (-14) = -11.

Now that we have the common difference, we can use the formula to find the 60th term (a_60):
a_60 = -14 + (60 - 1)(-11)
a_60 = -14 + 59 * (-11)
a_60 = -14 - 649
a_60 = -663

Therefore, the 60th term of the arithmetic sequence is -663, which corresponds to option A.

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