Type the missing number in this sequence: 3, 5, 9, 15, 23, _____, 45, 59

Identify Pattern: 3, 5, 9, 15, 23, _____, 45, 59 Identify the pattern in the sequence. Look at the differences between consecutive terms.Calculate Differences: Calculate the differences between consecutive terms. 5 - 3 = 2 9 - 5 = 4 15 - 9 = 6 23 - 15 = 8 Notice that the differences are increasing by 2 each time.Predict Next Difference: Predict the next difference in the pattern. Since the last difference we calculated was 8, the next difference should be 8 + 2 = 10.Find Missing Number: Add the predicted difference to the last known term to find the missing number. 23 + 10 = 33 The missing number should be 33.Verify Sequence: Verify the pattern continues correctly after the missing number. 33 + (10 + 2) = 33 + 12 = 45 The sequence continues correctly, so our missing number is confirmed.

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Type the missing number in this sequence: $\newline$ $3,\;5,\;9,\;15,\;23,\;\_\_\_\_,\;45,\;59$

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Math Problems

Algebra 1

Sequences: mixed review

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Q. Type the missing number in this sequence:

\newline

3,\;5,\;9,\;15,\;23,\;\_\_\_\_,\;45,\;59

Identify Pattern: $3, 5, 9, 15, 23, \_, 45, 59$ $\newline$ Identify the pattern in the sequence. $\newline$ Look at the differences between consecutive terms.
Calculate Differences: Calculate the differences between consecutive terms. $\newline$ $5 - 3 = 2$ $\newline$ $9 - 5 = 4$ $\newline$ $15 - 9 = 6$ $\newline$ $23 - 15 = 8$ $\newline$ Notice that the differences are increasing by $2$ each time.
Predict Next Difference: Predict the next difference in the pattern. $\newline$ Since the last difference we calculated was $8$ , the next difference should be $8 + 2 = 10$ .
Find Missing Number: Add the predicted difference to the last known term to find the missing number. $23 + 10 = 33$ The missing number should be $33$ .
Verify Sequence: Verify the pattern continues correctly after the missing number. $33 + (10 + 2) = 33 + 12 = 45$ The sequence continues correctly, so our missing number is confirmed.