Question

"The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

a - 1.8
b - 2
c - 8/9
d - none of these

Answer 1

The common difference in the arithmetic sequence is 2.

Step-by-step explanation:

To find the common difference in an arithmetic sequence, we can use the formula:

d = (an - a1) / (n - 1)

where d is the common difference, an is the nth term of the sequence, a1 is the first term, and n is the position of the term.

Substituting the given values into the formula, we have:

d = (13 - (-5)) / (10 - 1)

d = 18 / 9

d = 2

Therefore, the common difference is 2.