Type the missing number in this sequence: 38, 45, 52, _____, 66, 73

Determine Pattern: To find the missing number in the sequence, we first need to determine the pattern. We can do this by finding the difference between consecutive numbers that are given. Calculate the difference between the second and first number: 45 - 38 = 7.Calculate Differences: Now, let's check if the same difference applies to the next pair of numbers we have. Calculate the difference between the third and second number: 52 - 45 = 7.Consistent Increase: Since the difference between consecutive numbers is consistent and equals 7, we can conclude that the sequence increases by 7 each time. To find the missing number, add 7 to the third number in the sequence. Calculate the missing number: 52 + 7 = 59.Find Missing Number: To ensure that our found number fits the sequence, let's check if adding 7 to the missing number gives us the next number in the sequence. Calculate the next number: 59 + 7 = 66.Check Sequence Continuity: Since adding 7 to our found number gives us the correct next number in the sequence, we can be confident that our missing number is correct.

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Type the missing number in this sequence: $\newline$ $38,\;45,\;52,\;\_\_\_\_,\;66,\;73$

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Math Problems

Grade 7

Sequences: mixed review

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Q. Type the missing number in this sequence:

\newline

38,\;45,\;52,\;\_\_\_\_,\;66,\;73

Determine Pattern: To find the missing number in the sequence, we first need to determine the pattern. We can do this by finding the difference between consecutive numbers that are given. $\newline$ Calculate the difference between the second and first number: $45 - 38 = 7$ .
Calculate Differences: Now, let's check if the same difference applies to the next pair of numbers we have. $\newline$ Calculate the difference between the third and second number: $52 - 45 = 7$ .
Consistent Increase: Since the difference between consecutive numbers is consistent and equals $7$ , we can conclude that the sequence increases by $7$ each time. $\newline$ To find the missing number, add $7$ to the third number in the sequence. $\newline$ Calculate the missing number: $52 + 7 = 59$ .
Find Missing Number: To ensure that our found number fits the sequence, let's check if adding $7$ to the missing number gives us the next number in the sequence. $\newline$ Calculate the next number: $59 + 7 = 66$ .
Check Sequence Continuity: Since adding $7$ to our found number gives us the correct next number in the sequence, we can be confident that our missing number is correct.