Question

Use the following information to answer the questions. The 6th term in the arithmetic sequence is 35, and the 9th term of the arithmetic sequence is 50.

What is the common difference?

Answer 1

d = (50 - 35)/(9 - 6) = 15/3 = 5

The common difference is 5.

Answer 2

The common difference for the arithmetic sequence is 5.

Step-by-step explanation:

To find the common difference in an arithmetic sequence, we need to find the difference between any two consecutive terms. In this case, we are given the 6th term as 35 and the 9th term as 50.

1. Subtract the 6th term from the 9th term: 50 - 35 = 15.
2. Since there are exactly 3 terms between the 6th and 9th terms, we divide the difference by 3: 15 ÷ 3 = 5.

Therefore, the common difference for this arithmetic sequence is 5.