Question

type the missing numbers in this sequence: 2, 8, 14, \boxed{}, 26, \boxed{}

Explanation:

Step1: Find the common difference

To find the pattern, calculate the difference between consecutive terms.
$8 - 2 = 6$, $14 - 8 = 6$. So the common difference $d = 6$.

Step2: Find the first missing term

The fourth term is the third term plus the common difference.
$14 + 6 = 20$.

Step3: Find the second missing term

The sixth term is the fifth term plus the common difference.
$26 + 6 = 32$.

Answer:

The missing numbers are 20 and 32. So the sequence is 2, 8, 14, 20, 26, 32.