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

Identify Pattern: Identify the pattern in the sequence. The differences between the numbers are as follows: 5 - 3 = 2, 9 - 5 = 4, 15 - 9 = 6, 23 - 15 = 8. The differences are increasing by 2 each time.Predict Next Difference: Predict the next difference in the sequence. If the pattern continues, the next difference should be 8 + 2 = 10.Calculate Next Number: Calculate the next number in the sequence. The last number in the sequence is 23, so adding the next difference, we get 23 + 10 = 33.

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

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Algebra 2

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

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

Identify Pattern: Identify the pattern in the sequence. $\newline$ The differences between the numbers are as follows: $5 - 3 = 2$ , $9 - 5 = 4$ , $15 - 9 = 6$ , $23 - 15 = 8$ . $\newline$ The differences are increasing by $2$ each time.
Predict Next Difference: Predict the next difference in the sequence. $\newline$ If the pattern continues, the next difference should be $8 + 2 = 10$ .
Calculate Next Number: Calculate the next number in the sequence. $\newline$ The last number in the sequence is $23$ , so adding the next difference, we get $23 + 10 = 33$ .