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

Identify Pattern: Identify the pattern in the sequence. We will look at the differences between consecutive terms to see if there is a pattern. 5 - 3 = 2 9 - 5 = 4 15 - 9 = 6 23 - 15 = 8 The differences are increasing by 2 each time.Predict Next Difference: Predict the next difference in the pattern. If the pattern continues, the next difference should be 8 + 2 = 10.Find Missing Number: Find the missing number in the sequence. Add the predicted difference to the last known number in the sequence. 23 + 10 = 33 So, the missing number should be 33.Verify Pattern Continues: Verify the pattern continues after the missing number. Add the next difference (which should be 10 + 2 = 12) to the missing number we found. 33 + 12 = 45 Since 45 is the next number in the sequence, our pattern is correct.

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

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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

Identify Pattern: Identify the pattern in the sequence. $\newline$ We will look at the differences between consecutive terms to see if there is a pattern. $\newline$ $5 - 3 = 2$ $\newline$ $9 - 5 = 4$ $\newline$ $15 - 9 = 6$ $\newline$ $23 - 15 = 8$ $\newline$ The differences are increasing by $2$ each time.
Predict Next Difference: Predict the next difference in the pattern. If the pattern continues, the next difference should be $8 + 2 = 10$ .
Find Missing Number: Find the missing number in the sequence. $\newline$ Add the predicted difference to the last known number in the sequence. $\newline$ $23 + 10 = 33$ $\newline$ So, the missing number should be $33$ .
Verify Pattern Continues: Verify the pattern continues after the missing number. $\newline$ Add the next difference (which should be $10 + 2 = 12$ ) to the missing number we found. $\newline$ $33 + 12 = 45$ $\newline$ Since $45$ is the next number in the sequence, our pattern is correct.