Question

Find the common difference of the arithmetic sequence.

5, 5.3, 5.6, 5.9, . . .


1.1


0.3


10.3


–1.1

Answer 1

In an arithmetic sequence, the common difference \(d\) is found by subtracting any term from the succeeding term.

Let's find the common difference for the given sequence:

The first term is \(5\), and the second term is \(5.3\).

To find the common difference \(d\):

\[
d = 5.3 - 5 = 0.3
\]

We can verify this by checking the difference between the second and third terms:

The second term is \(5.3\) and the third term is \(5.6\):

\[
d = 5.6 - 5.3 = 0.3
\]

And again, for the third and fourth terms:

The third term is \(5.6\) and the fourth term is \(5.9\):

\[
d = 5.9 - 5.6 = 0.3
\]

Since the common difference is consistently \(0.3\), we can conclude that the common difference of the arithmetic sequence is:

\(\boxed{0.3}\)