Question

Find the common difference of the arithmetic sequence 15,6,-3,…

Answer 1

Since the difference between each pair of consecutive terms is the same, the common difference (d) is -9.

Explanation:

In an arithmetic sequence, the common difference (d) is the constant value by which each term is obtained by adding or subtracting. Let's calculate it for the given sequence:

First, find the difference between the second and first terms:

6 - 15 = -9

Now, find the difference between the third and second terms:

-3 - 6 = -9

Since the difference between each pair of consecutive terms is the same, the common difference (d) is -9.