Type the missing number in this sequence: 2, 2, _____, 8, 14, 22, 32

Identify Pattern: Identify the pattern in the sequence. We need to look at the differences between the numbers to see if there is a consistent pattern. 2 to 2 has a difference of 0. We will need to find the difference between the subsequent numbers to determine the pattern.Calculate Differences: Calculate the differences between the subsequent numbers in the sequence. 8 - 2 = 6 14 - 8 = 6 22 - 14 = 8 32 - 22 = 10 It seems that the differences are not consistent, which means we might need to look at the sequence of differences to find a secondary pattern.Look for Secondary Pattern: Look for a pattern in the sequence of differences. The sequence of differences between the numbers is 0, (missing difference), 6, 6, 8, 10. We can see that the differences are increasing, but we need to determine the missing difference to find the pattern.Determine Pattern: Determine the pattern in the sequence of differences. If we look at the differences of the differences: 6 - 0 = 6 8 - 6 = 2 10 - 8 = 2 It seems that the differences are increasing by 2 each time. However, since we have two 6s in a row, we need to check if there is a mistake.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the missing number in this sequence: $\newline$ $2$ , $2$ , _____, $8$ , $14$ , $22$ , $32$

View step-by-step help

Home

Math Problems

Grade 8

Sequences: mixed review

Full solution

Q. Type the missing number in this sequence:

\newline

2

2

, _____,

8

14

22

32

Identify Pattern: Identify the pattern in the sequence. $\newline$ We need to look at the differences between the numbers to see if there is a consistent pattern. $\newline$ $2$ to $2$ has a difference of $0$ . $\newline$ We will need to find the difference between the subsequent numbers to determine the pattern.
Calculate Differences: Calculate the differences between the subsequent numbers in the sequence. $\newline$ $8 - 2 = 6$ $\newline$ $14 - 8 = 6$ $\newline$ $22 - 14 = 8$ $\newline$ $32 - 22 = 10$ $\newline$ It seems that the differences are not consistent, which means we might need to look at the sequence of differences to find a secondary pattern.
Look for Secondary Pattern: Look for a pattern in the sequence of differences. $\newline$ The sequence of differences between the numbers is $0$ , (missing difference), $6$ , $6$ , $8$ , $10$ . $\newline$ We can see that the differences are increasing, but we need to determine the missing difference to find the pattern.
Determine Pattern: Determine the pattern in the sequence of differences. $\newline$ If we look at the differences of the differences: $\newline$ $6 - 0 = 6$ $\newline$ $8 - 6 = 2$ $\newline$ $10 - 8 = 2$ $\newline$ It seems that the differences are increasing by $2$ each time. However, since we have two $6$ s in a row, we need to check if there is a mistake.