Type the next number in this sequence: 3, 4, 6, 9, 13, _____

Identify Pattern: Identify the pattern in the sequence. The differences between consecutive terms are as follows: 4 - 3 = 1 6 - 4 = 2 9 - 6 = 3 13 - 9 = 4 The pattern in the differences is increasing by 1 each time.Predict Next Difference: Predict the next difference in the sequence. If the pattern continues, the next difference should be 5, since the last difference was 4.Calculate Next Number: Calculate the next number in the sequence. To find the next number, add the next difference to the last number in the sequence: 13 + 5 = 18

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Type the next number in this sequence: $\newline$ $3,\ 4,\ 6,\ 9,\ 13,\ \_$

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Math Problems

Algebra 2

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

3,\ 4,\ 6,\ 9,\ 13,\ \_

Identify Pattern: Identify the pattern in the sequence. $\newline$ The differences between consecutive terms are as follows: $\newline$ $4 - 3 = 1$ $\newline$ $6 - 4 = 2$ $\newline$ $9 - 6 = 3$ $\newline$ $13 - 9 = 4$ $\newline$ The pattern in the differences is increasing by $1$ each time.
Predict Next Difference: Predict the next difference in the sequence. $\newline$ If the pattern continues, the next difference should be $5$ , since the last difference was $4$ .
Calculate Next Number: Calculate the next number in the sequence. $\newline$ To find the next number, add the next difference to the last number in the sequence: $\newline$ $13 + 5 = 18$