Question

Find the common difference of an arithmetic sequence:

a) 1/2
b) 1/3
c) 1/6
d) 0

Answer 1

The common difference of an arithmetic sequence is the constant difference between any two consecutive terms. So the correct answer is d) 0.

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is called the common difference of the arithmetic sequence.

To find the common difference, we can subtract any term in the sequence from its preceding term. The result will be the same for any two consecutive terms. For example, if we have the sequence: 1, 2, 3, 4, 5, the common difference is 2 - 1 = 1.

In this case, the common difference is:

• a) 1/2
• b) 1/3
• c) 1/6
• d) 0

So the correct answer is d) 0.