Type the next number in this sequence: 4, 4, 5, 7, 10, _____

Identify Differences: To find the pattern in the sequence, we need to look at the differences between consecutive numbers. Difference between second and first number: 4 - 4 = 0 Difference between third and second number: 5 - 4 = 1 Difference between fourth and third number: 7 - 5 = 2 Difference between fifth and fourth number: 10 - 7 = 3 It seems that the differences are increasing by 1 each time.Predict Next Number: If the pattern of increasing differences by 1 continues, the next difference should be 4 (since the last difference was 3). To find the next number in the sequence, we add this difference to the last number in the sequence. Next number in the sequence: 10 + 4 = 14Verify Pattern: We should check the pattern to ensure no mistakes were made. Starting with the first difference of 0, each subsequent difference increases by 1: 0, 1, 2, 3, and then 4. This confirms our pattern and calculation.

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Type the next number in this sequence: $\newline$ $4,$ $4,$ $5,$ $7,$ $10,$ $\_\_\_\_\_$

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Math Problems

Grade 7

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

4,

4,

5,

7,

10,

\_\_\_\_\_

Identify Differences: To find the pattern in the sequence, we need to look at the differences between consecutive numbers. $\newline$ Difference between second and first number: $4 - 4 = 0$ $\newline$ Difference between third and second number: $5 - 4 = 1$ $\newline$ Difference between fourth and third number: $7 - 5 = 2$ $\newline$ Difference between fifth and fourth number: $10 - 7 = 3$ $\newline$ It seems that the differences are increasing by $1$ each time.
Predict Next Number: If the pattern of increasing differences by $1$ continues, the next difference should be $4$ (since the last difference was $3$ ). $\newline$ To find the next number in the sequence, we add this difference to the last number in the sequence. $\newline$ Next number in the sequence: $10 + 4 = 14$
Verify Pattern: We should check the pattern to ensure no mistakes were made. $\newline$ Starting with the first difference of $0$ , each subsequent difference increases by $1$ : $0$ , $1$ , $2$ , $3$ , and then $4$ . $\newline$ This confirms our pattern and calculation.