23.6k views
1 vote
Find the 14th term of the arithmetic sequence with a first term of 5 and a common difference of -6.

A) -75
B) -79
C) -83
D) -87

1 Answer

1 vote

Final answer:

The 14th term of the arithmetic sequence is -73.

Step-by-step explanation:

To find the 14th term of an arithmetic sequence with a first term of 5 and a common difference of -6, we can use the formula:
nth term = first term + (n-1) * common difference
Plugging in the values:
14th term = 5 + (14-1) * (-6)
14th term = 5 + 13 * (-6)
14th term = 5 - 78
14th term = -73