Type the missing number in this sequence: 3, _____, 17, 24, 31, 38

Identify Pattern: First, let's try to identify a pattern in the given sequence. Since not all numbers are present, we can start by finding the difference between the numbers that are given. We'll subtract 24 from 31, then 31 from 38. Calculation: 31 - 24 = 7, 38 - 31 = 7Confirm Arithmetic Sequence: From the above step, we can see that the difference between each pair of consecutive numbers provided is 7. This suggests that the sequence might be an arithmetic sequence with a common difference of 7.Check Difference: To confirm the pattern, we should check if the difference between 17 and 24 is also 7. Calculation: 24 - 17 = 7Find Missing Number: Now that we have confirmed the sequence is an arithmetic sequence with a common difference of 7, we can find the missing number by subtracting 7 from 17. Calculation: 17 - 7 = 10

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Type the missing number in this sequence: $\newline$ $3$ , $\_$ , $17$ , $24$ , $31$ , $38$

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Algebra 2

Find terms of an arithmetic sequence

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Q. Type the missing number in this sequence:

\newline

3

\_

17

24

31

38

Identify Pattern: First, let's try to identify a pattern in the given sequence. Since not all numbers are present, we can start by finding the difference between the numbers that are given. We'll subtract $24$ from $31$ , then $31$ from $38$ . $\newline$ Calculation: $31 - 24 = 7$ , $38 - 31 = 7$
Confirm Arithmetic Sequence: From the above step, we can see that the difference between each pair of consecutive numbers provided is $7$ . This suggests that the sequence might be an arithmetic sequence with a common difference of $7$ .
Check Difference: To confirm the pattern, we should check if the difference between $17$ and $24$ is also $7$ . $\newline$ Calculation: $24 - 17 = 7$
Find Missing Number: Now that we have confirmed the sequence is an arithmetic sequence with a common difference of $7$ , we can find the missing number by subtracting $7$ from $17$ . $\newline$ Calculation: $17 - 7 = 10$