Type the missing number in this sequence: 5, 6, 8, 11, 15, _____, 26, 33

Identify Pattern: Identify the pattern in the sequence. Look at the differences between consecutive terms to see if there is a pattern. 6 - 5 = 1 8 - 6 = 2 11 - 8 = 3 15 - 11 = 4 It seems that each term is increasing by one more than the previous increase.Predict Next Increase: Predict the next increase in the sequence. If the pattern of increases continues, the next increase should be 5, because the last increase we found was 4.Calculate Missing Number: Calculate the missing number in the sequence. Add the predicted increase to the last known number in the sequence. 15 + 5 = 20 The missing number should be 20.Verify Pattern Continues: Verify the pattern continues after the missing number. To ensure that the missing number is correct, check if the pattern continues with the next known numbers. 20 (the missing number we found) + 6 (the next increase, since the last was 5) should equal 26, which is the next number in the sequence. 20 + 6 = 26 The pattern holds, so the missing number is likely correct.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the missing number in this sequence: $\newline$ $5$ , $6$ , $8$ , $11$ , $15$ , $\_$ , $26$ , $33$

View step-by-step help

Home

Math Problems

Algebra 1

Sequences: mixed review

Full solution

Q. Type the missing number in this sequence:

\newline

5

6

8

11

15

\_

26

33

Identify Pattern: Identify the pattern in the sequence. $\newline$ Look at the differences between consecutive terms to see if there is a pattern. $\newline$ $6 - 5 = 1$ $\newline$ $8 - 6 = 2$ $\newline$ $11 - 8 = 3$ $\newline$ $15 - 11 = 4$ $\newline$ It seems that each term is increasing by one more than the previous increase.
Predict Next Increase: Predict the next increase in the sequence. If the pattern of increases continues, the next increase should be $5$ , because the last increase we found was $4$ .
Calculate Missing Number: Calculate the missing number in the sequence. $\newline$ Add the predicted increase to the last known number in the sequence. $\newline$ $15 + 5 = 20$ $\newline$ The missing number should be $20$ .
Verify Pattern Continues: Verify the pattern continues after the missing number. $\newline$ To ensure that the missing number is correct, check if the pattern continues with the next known numbers. $\newline$ $20$ (the missing number we found) + $6$ (the next increase, since the last was $5$ ) should equal $26$ , which is the next number in the sequence. $\newline$ $20 + 6 = 26$ $\newline$ The pattern holds, so the missing number is likely correct.