Type the next number in this sequence: 3, 5, 9, 15, 23, 33, _____

Identify Pattern: Step 1: Identify the pattern in the sequence. Look at the differences between consecutive terms: 5-3=2, 9-5=4, 15-9=6, 23-15=8, 33-23=10. The differences are increasing by 2 each time.Predict Next Difference: Step 2: Predict the next difference. The last difference was 10, so adding 2 gives us 12.Calculate Next Term: Step 3: Calculate the next term in the sequence. Add the last term of the sequence (33) and the next difference (12). 33 + 12 = 45.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the next number in this sequence: $\newline$ $3,\;5,\;9,\;15,\;23,\;33,\;\_\_\_$

View step-by-step help

Home

Math Problems

Algebra 1

Sequences: mixed review

Full solution

Q. Type the next number in this sequence:

\newline

3,\;5,\;9,\;15,\;23,\;33,\;\_\_\_

Identify Pattern: Step $1$ : Identify the pattern in the sequence. $\newline$ Look at the differences between consecutive terms: $5-3=2$ , $9-5=4$ , $15-9=6$ , $23-15=8$ , $33-23=10$ . $\newline$ The differences are increasing by $2$ each time.
Predict Next Difference: Step $2$ : Predict the next difference. $\newline$ The last difference was $10$ , so adding $2$ gives us $12$ .
Calculate Next Term: Step $3$ : Calculate the next term in the sequence. $\newline$ Add the last term of the sequence ( $33$ ) and the next difference ( $12$ ). $\newline$ $33 + 12 = 45$ .