Type the next number in this sequence: 2, 4, 7, 11, 16, 22, 29, _____

Identify Differences: To find the pattern, let's look at the differences between consecutive numbers in the sequence. Difference between 4 and 2 is 2. Difference between 7 and 4 is 3. Difference between 11 and 7 is 4. Difference between 16 and 11 is 5. Difference between 22 and 16 is 6. Difference between 29 and 22 is 7. It seems that with each step, the difference increases by 1.Calculate Next Number: Now, to find the next number, we add 8 to the last number in the sequence (since the last difference was 7, the next difference should be 8). 29 + 8 = 37Verify Pattern: We check the pattern to ensure that the difference between the numbers we have found continues to increase by 1. The difference between 37 and 29 is indeed 8, which is 1 more than the previous difference of 7.

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Type the next number in this sequence: $\newline$ $2$ , $4$ , $7$ , $11$ , $16$ , $22$ , $29$ , $\_$

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Math Problems

Grade 8

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

2

4

7

11

16

22

29

\_

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 $2$ . $\newline$ Difference between $7$ and $4$ is $3$ . $\newline$ Difference between $11$ and $7$ is $4$ . $\newline$ Difference between $16$ and $11$ is $2$ $1$ . $\newline$ Difference between $2$ $2$ and $16$ is $2$ $4$ . $\newline$ Difference between $2$ $5$ and $2$ $2$ is $7$ . $\newline$ It seems that with each step, the difference increases by $2$ $8$ .
Calculate Next Number: Now, to find the next number, we add $8$ to the last number in the sequence (since the last difference was $7$ , the next difference should be $8$ ). $\newline$ $29 + 8 = 37$
Verify Pattern: We check the pattern to ensure that the difference between the numbers we have found continues to increase by $1$ . The difference between $37$ and $29$ is indeed $8$ , which is $1$ more than the previous difference of $7$ .