Type the next number in this sequence: 0, 2, 5, 9, 14, 20, 27, _____

Identify Pattern: Identify the pattern in the sequence. The differences between the numbers are increasing by 1 each time: 2 - 0 = 2, 5 - 2 = 3, 9 - 5 = 4, 14 - 9 = 5, 20 - 14 = 6, 27 - 20 = 7.Predict Next Difference: Predict the next difference in the sequence. If the pattern continues, the next difference should be 8, since the last difference was 7.Calculate Next Number: Calculate the next number in the sequence. Add the next difference to the last number in the sequence: 27 + 8 = 35.

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Type the next number in this sequence: $\newline$ $0$ , $2$ , $5$ , $9$ , $14$ , $20$ , $27$ , $\_$

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Math Problems

Algebra 2

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

0

2

5

9

14

20

27

\_

Identify Pattern: Identify the pattern in the sequence. $\newline$ The differences between the numbers are increasing by $1$ each time: $2 - 0 = 2$ , $5 - 2 = 3$ , $9 - 5 = 4$ , $14 - 9 = 5$ , $20 - 14 = 6$ , $27 - 20 = 7$ .
Predict Next Difference: Predict the next difference in the sequence. $\newline$ If the pattern continues, the next difference should be $8$ , since the last difference was $7$ .
Calculate Next Number: Calculate the next number in the sequence. $\newline$ Add the next difference to the last number in the sequence: $27 + 8 = 35$ .