Type the next number in this sequence: 2, 4, 7, 11, 16, _____

Identify Differences: To find the pattern, let's look at the differences between consecutive numbers in the sequence. Difference between 4 and 2 is 4 - 2 = 2. Calculate Difference 1: Difference between 7 and 4 is 7 - 4 = 3. Calculate Difference 2: Difference between 11 and 7 is 11 - 7 = 4. Calculate Difference 3: Difference between 16 and 11 is 16 - 11 = 5. Identify Increasing Pattern: It seems that the difference between consecutive numbers is increasing by 1 each time. If this pattern continues, the next difference should be 5 + 1 = 6. Find Next Number: To find the next number in the sequence, add this difference to the last number in the sequence: 16 + 6 = 22.

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Type the next number in this sequence: $\newline$ $2$ , $4$ , $7$ , $11$ , $16$ , $\_$

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Math Problems

Grade 7

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

2

4

7

11

16

\_

Identify Differences: To find the pattern, let's look at the differences between consecutive numbers in the sequence. $\newline$ Difference between $4$ and $2$ is $4 - 2 = 2$ .
Calculate Difference $1$ : Difference between $7$ and $4$ is $7 - 4 = 3$ .
Calculate Difference $2$ : Difference between $11$ and $7$ is $11 - 7 = 4$ .
Calculate Difference $3$ : Difference between $16$ and $11$ is $16 - 11 = 5$ .
Identify Increasing Pattern: It seems that the difference between consecutive numbers is increasing by $1$ each time. If this pattern continues, the next difference should be $5 + 1 = 6$ .
Find Next Number: To find the next number in the sequence, add this difference to the last number in the sequence: $16 + 6 = 22$ .