Type the next number in this sequence: 3, 5, 8, 12, 17, _____

Identify Pattern: Identify the pattern in the sequence. Look at the differences between consecutive terms to see if there is a pattern. 5 - 3 = 2 8 - 5 = 3 12 - 8 = 4 17 - 12 = 5 The differences are increasing by 1 each time.Determine Difference: Determine the difference between the last known term and the next term. Since the last difference was 5, the next difference should be 6.Add to Find Missing Number: Add the next difference to the last known term to find the missing number. 17 + 6 = 23 The next number in the sequence should be 23.

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Type the next number in this sequence: $\newline$ $3,\;5,\;8,\;12,\;17,\;\_\_$

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Math Problems

Algebra 1

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

3,\;5,\;8,\;12,\;17,\;\_\_

Identify Pattern: Identify the pattern in the sequence. $\newline$ Look at the differences between consecutive terms to see if there is a pattern. $\newline$ $5 - 3 = 2$ $\newline$ $8 - 5 = 3$ $\newline$ $12 - 8 = 4$ $\newline$ $17 - 12 = 5$ $\newline$ The differences are increasing by $1$ each time.
Determine Difference: Determine the difference between the last known term and the next term. $\newline$ Since the last difference was $5$ , the next difference should be $6$ .
Add to Find Missing Number: Add the next difference to the last known term to find the missing number. $17 + 6 = 23$ The next number in the sequence should be $23$ .