Math Question 7 What number comes next in this sequence? " 1,4,8,13, 19, "26

Identify Differences in Sequence: To find the pattern in the sequence, we need to look at the differences between consecutive numbers. 1 to 4 is an increase of 3. 4 to 8 is an increase of 4. 8 to 13 is an increase of 5. 13 to 19 is an increase of 6. 19 to 26 is an increase of 7. It seems that the pattern involves increasing the difference by 1 each time.Predict Next Number: To predict the next number, we should add 8 to the last number in the sequence, since the last increase was by 7. 26 + 8 = 34Verify Pattern Continuity: We should check the pattern to ensure that the difference is indeed increasing by 1 each time. 1 to 4: +3 4 to 8: +4 8 to 13: +5 13 to 19: +6 19 to 26: +7 The pattern holds, so the next difference should be +8.

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Math
Question 7

What number comes next in this sequence?

" 1,4,8,13, 19, "26

$2$ . Math $\newline$ Question $7$ $\newline$ What number comes next in this sequence? $\newline$ $\text { 1,4,8,13, 19, } 26$

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Grade 7

Sequences: mixed review

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. Math

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Question

7

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What number comes next in this sequence?

\newline

\text { 1,4,8,13, 19, } 26

Identify Differences in Sequence: To find the pattern in the sequence, we need to look at the differences between consecutive numbers. $\newline$ $1$ to $4$ is an increase of $3$ . $\newline$ $4$ to $8$ is an increase of $4$ . $\newline$ $8$ to $13$ is an increase of $5$ . $\newline$ $13$ to $4$ $0$ is an increase of $4$ $1$ . $\newline$ $4$ $0$ to $4$ $3$ is an increase of $4$ $4$ . $\newline$ It seems that the pattern involves increasing the difference by $1$ each time.
Predict Next Number: To predict the next number, we should add $8$ to the last number in the sequence, since the last increase was by $7$ . $\newline$ $26 + 8 = 34$
Verify Pattern Continuity: We should check the pattern to ensure that the difference is indeed increasing by $1$ each time. $\newline$ $1$ to $4$ : $+3$ $\newline$ $4$ to $8$ : $+4$ $\newline$ $8$ to $13$ : $+5$ $\newline$ $13$ to $1$ $1$ : $1$ $2$ $\newline$ $1$ $1$ to $1$ $4$ : $1$ $5$ $\newline$ The pattern holds, so the next difference should be $1$ $6$ .