20.

Find the common difference of the arithmetic sequence.

4, 10, 16, 22, . . .

1 answer

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:

\[ \boxed{6} \]