Question

20.
Find the common difference of the arithmetic sequence.

4, 10, 16, 22, . . .

Answer 1

In an arithmetic sequence, the common difference is the difference between any two consecutive terms.

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

- The first term is \(4\).
- The second term is \(10\).
- The third term is \(16\).
- The fourth term is \(22\).

Now, we find the difference between the second term and the first term:
\[
10 - 4 = 6
\]

Next, we find the difference between the third term and the second term:
\[
16 - 10 = 6
\]

Finally, we find the difference between the fourth term and the third term:
\[
22 - 16 = 6
\]

Since the difference is consistent across all pairs of consecutive terms, the common difference of the arithmetic sequence is:

\[
\boxed{6}
\]