Problem 64 - College Algebra

Question

What is the common difference in an arithmetic sequence?

Step-by-Step Solution

Answer

The common difference in an arithmetic sequence is obtained by subtracting the earlier term from the latter term of any two consecutive terms.

Step 1 - Understand the Nature of Arithmetic Sequence

Identify the arithmetic sequence. This is a sequence of numbers in which the difference of any two successive members is a constant. The sequence could be increasing or decreasing.

Step 2 - Identify Two Consecutive Terms in the Sequence

Choose two consecutive terms in the sequence. The position of the terms in the sequence doesn't matter as long as they are consecutive. You could choose the first and second term, or the third and fourth term, for example.

Step 3 - Calculate the Common Difference

Now, subtract the earlier term from the latter term. This calculated value is the 'common difference'. In an arithmetic sequence, this difference remains constant (or 'common').