Type the missing number in this sequence: 2, 2, 3, _____, 8, 12, 17, 23

Determine Pattern: To find the missing number in the sequence, we need to determine the pattern. Let's look at the differences between the numbers.Find Differences: The difference between the second and the first number (2 - 2) is 0. The difference between the third and the second number (3 - 2) is 1. Now, let's find the difference between the subsequent numbers.Identify Unknowns: The difference between the fifth and the fourth number (8 - _____) is unknown, and the same goes for the difference between the fourth and the third number (_____ - 3). We need to find these differences to determine the missing number.Calculate Missing Number: The difference between the sixth and the fifth number (12 - 8) is 4. The difference between the seventh and the sixth number (17 - 12) is 5. The difference between the eighth and the seventh number (23 - 17) is 6.It seems that the differences between the numbers are increasing by 1 each time: 0, 1, (unknown), 4, 5, 6. If this pattern continues, the difference before 4 should be 3.If the difference before 4 is 3, then the missing number plus 3 should equal 8 (since 8 is the next number in the sequence). Therefore, the missing number is 8 - 3.Calculate the missing number: 8 - 3 = 5. So, the missing number in the sequence is 5.

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Type the missing number in this sequence: $\newline$ $2$ , $2$ , $3$ , $\_$ , $8$ , $12$ , $17$ , $23$

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Math Problems

Grade 8

Sequences: mixed review

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Q. Type the missing number in this sequence:

\newline

2

2

3

\_

8

12

17

23

Determine Pattern: To find the missing number in the sequence, we need to determine the pattern. Let's look at the differences between the numbers.
Find Differences: The difference between the second and the first number $(2 - 2)$ is $0$ . The difference between the third and the second number $(3 - 2)$ is $1$ . Now, let's find the difference between the subsequent numbers.
Identify Unknowns: The difference between the fifth and the fourth number $(8 - \_)$ is unknown, and the same goes for the difference between the fourth and the third number $(\_ - 3)$ . We need to find these differences to determine the missing number.
Calculate Missing Number: The difference between the sixth and the fifth number $(12 - 8)$ is $4$ . The difference between the seventh and the sixth number $(17 - 12)$ is $5$ . The difference between the eighth and the seventh number $(23 - 17)$ is $6$ .
Calculate Missing Number: The difference between the sixth and the fifth number $(12 - 8)$ is $4$ . The difference between the seventh and the sixth number $(17 - 12)$ is $5$ . The difference between the eighth and the seventh number $(23 - 17)$ is $6$ .It seems that the differences between the numbers are increasing by $1$ each time: $0$ , $1$ , (unknown), $4$ , $5$ , $6$ . If this pattern continues, the difference before $4$ should be $4$ $3$ .
Calculate Missing Number: The difference between the sixth and the fifth number $(12 - 8)$ is $4$ . The difference between the seventh and the sixth number $(17 - 12)$ is $5$ . The difference between the eighth and the seventh number $(23 - 17)$ is $6$ . It seems that the differences between the numbers are increasing by $1$ each time: $0, 1$ , (unknown), $4, 5, 6$ . If this pattern continues, the difference before $4$ should be $4$ $0$ . If the difference before $4$ is $4$ $0$ , then the missing number plus $4$ $0$ should equal $4$ $4$ (since $4$ $4$ is the next number in the sequence). Therefore, the missing number is $4$ $6$ .
Calculate Missing Number: The difference between the sixth and the fifth number $(12 - 8)$ is $4$ . The difference between the seventh and the sixth number $(17 - 12)$ is $5$ . The difference between the eighth and the seventh number $(23 - 17)$ is $6$ .It seems that the differences between the numbers are increasing by $1$ each time: $0$ , $1$ , (unknown), $4$ , $5$ , $6$ . If this pattern continues, the difference before $4$ should be $4$ $3$ .If the difference before $4$ is $4$ $3$ , then the missing number plus $4$ $3$ should equal $4$ $7$ (since $4$ $7$ is the next number in the sequence). Therefore, the missing number is $4$ $9$ .Calculate the missing number: $(17 - 12)$ $0$ . So, the missing number in the sequence is $5$ .