Question

What is the common difference of an arithmetic sequence whose first term is 35 and whose fourth term is 11?

A) -6
B) -8
C) -9
D) -10

Answer 1

The common difference of the arithmetic sequence is -24, so the correct answer is Option D) -10.

Step-by-step explanation:

In an arithmetic sequence, the common difference (d) is the constant amount that is added or subtracted to each term to get the next term. To find the common difference, we can subtract the fourth term (11) from the first term (35).

d = 11 - 35 = -24

The common difference is -24. Therefore, the correct answer is Option D) -10.