Type the next number in this sequence: 4, 4, 6, 10, 16, _____

Identify Pattern: Identify the pattern in the sequence. The sequence starts with 4 and seems to increase by adding a certain number each time. Let's find the differences between consecutive terms.Calculate Differences: Calculate the differences between consecutive terms. 4 to 4: 4 - 4 = 0 4 to 6: 6 - 4 = 2 6 to 10: 10 - 6 = 4 10 to 16: 16 - 10 = 6 The differences are increasing by 2 each time.Predict Next Difference: Predict the next difference in the sequence. If the pattern of differences (0, 2, 4, 6) continues, the next difference should be 6 + 2 = 8.Find Next Number: Add the predicted difference to the last term to find the next number in the sequence. 16 + 8 = 24 The next number in the sequence should be 24.

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Type the next number in this sequence: $\newline$ $4$ , $4$ , $6$ , $10$ , $16$ , _____

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Math Problems

Algebra 2

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

4

4

6

10

16

, _____

Identify Pattern: Identify the pattern in the sequence. $\newline$ The sequence starts with $4$ and seems to increase by adding a certain number each time. $\newline$ Let's find the differences between consecutive terms.
Calculate Differences: Calculate the differences between consecutive terms. $\newline$ $4$ to $4$ : $4 - 4 = 0$ $\newline$ $4$ to $6$ : $6 - 4 = 2$ $\newline$ $6$ to $10$ : $10 - 6 = 4$ $\newline$ $10$ to $4$ $0$ : $4$ $1$ $\newline$ The differences are increasing by $4$ $2$ each time.
Predict Next Difference: Predict the next difference in the sequence. $\newline$ If the pattern of differences $(0, 2, 4, 6)$ continues, the next difference should be $6 + 2 = 8$ .
Find Next Number: Add the predicted difference to the last term to find the next number in the sequence. $\newline$ $16 + 8 = 24$ $\newline$ The next number in the sequence should be $24$ .