Type the missing number in this sequence: 5, 6, 8, 11, _____, 20, 26

Identify Pattern: Identify the pattern in the sequence. We need to look at the differences between consecutive numbers to see if there is a consistent pattern. 6 - 5 = 1 8 - 6 = 2 11 - 8 = 3 The differences are increasing by 1 each time. Let's see if this pattern continues with the next numbers in the sequence.Predict Next Difference: Predict the next difference and find the missing number. If the pattern continues, the next difference should be 4. 11 + 4 = 15 So, the missing number should be 15.Verify Continuation: Verify the pattern continues after the missing number. Let's check if the difference between 20 and the missing number (15) is 5, which would continue the pattern. 20 - 15 = 5 This fits the pattern, as the differences are increasing by 1: 1, 2, 3, 4, 5.Confirm Last Difference: Confirm the pattern holds for the last difference in the sequence. Finally, let's check if the difference between 26 and 20 is 6, which would be the next number in the pattern of differences. 26 - 20 = 6 This confirms the pattern is consistent throughout the sequence.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the missing number in this sequence: $\newline$ $5$ , $6$ , $8$ , $11$ , $\_$ , $20$ , $26$

View step-by-step help

Home

Math Problems

Grade 8

Sequences: mixed review

Full solution

Q. Type the missing number in this sequence:

\newline

5

6

8

11

\_

20

26

Identify Pattern: Identify the pattern in the sequence. $\newline$ We need to look at the differences between consecutive numbers to see if there is a consistent pattern. $\newline$ $6 - 5 = 1$ $\newline$ $8 - 6 = 2$ $\newline$ $11 - 8 = 3$ $\newline$ The differences are increasing by $1$ each time. Let's see if this pattern continues with the next numbers in the sequence.
Predict Next Difference: Predict the next difference and find the missing number. $\newline$ If the pattern continues, the next difference should be $4$ . $\newline$ $11 + 4 = 15$ $\newline$ So, the missing number should be $15$ .
Verify Continuation: Verify the pattern continues after the missing number. $\newline$ Let's check if the difference between $20$ and the missing number ( $15$ ) is $5$ , which would continue the pattern. $\newline$ $20 - 15 = 5$ $\newline$ This fits the pattern, as the differences are increasing by $1$ : $1, 2, 3, 4, 5$ .
Confirm Last Difference: Confirm the pattern holds for the last difference in the sequence. $\newline$ Finally, let's check if the difference between $26$ and $20$ is $6$ , which would be the next number in the pattern of differences. $\newline$ $26 - 20 = 6$ $\newline$ This confirms the pattern is consistent throughout the sequence.