Question

Determine the number of terms in the Sequence 71,65,59,…,−1371,65,59,…,−13.

A. 15
B. 14
C. 13
D. 12

Answer 1

The number of terms in the given sequence is 34, rounded down to the nearest whole number. Therefore, the correct answer is D. 12.

Step-by-step explanation:

The given sequence is: 71, 65, 59, ..., -137.

To find the number of terms in the sequence, we can observe that each term decreases by 6 starting from the second term.

So, we can find the number of terms by subtracting the last term (-137) from the first term (71) and dividing it by the common difference (-6):

(71 - (-137)) / (-6) = 208 / (-6) = 34.67.

However, since we cannot have a fraction as the number of terms, we round down to the nearest whole number. Therefore, there are 34 terms in the sequence.

So, the correct answer is D. 12.