Type the next number in this sequence: 0, 1, 3, 6, 10, _____

Identify Pattern: We need to identify the pattern in the sequence. Let's look at the differences between consecutive numbers: 1 - 0 = 1 3 - 1 = 2 6 - 3 = 3 10 - 6 = 4 It seems that the difference between each number and the one before it increases by 1 each time.Find Next Number: To find the next number in the sequence, we add 5 to the last number, since the last difference was 4 and we are increasing by 1. 10 + 5 = 15Check Pattern: We check our pattern to ensure that the differences continue to increase by 1. If we add 15 to the sequence, the difference between 15 and 10 is indeed 5, which is 1 more than the previous difference of 4.

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Type the next number in this sequence: $\newline$ $0$ , $1$ , $3$ , $6$ , $10$ , $\_$

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Math Problems

Grade 7

Sequences: mixed review

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Q. Type the next number in this sequence:

\newline

0

1

3

6

10

\_

Identify Pattern: We need to identify the pattern in the sequence. Let's look at the differences between consecutive numbers: $\newline$ $1 - 0 = 1$ $\newline$ $3 - 1 = 2$ $\newline$ $6 - 3 = 3$ $\newline$ $10 - 6 = 4$ $\newline$ It seems that the difference between each number and the one before it increases by $1$ each time.
Find Next Number: To find the next number in the sequence, we add $5$ to the last number, since the last difference was $4$ and we are increasing by $1$ . $\newline$ $10 + 5 = 15$
Check Pattern: We check our pattern to ensure that the differences continue to increase by $1$ . If we add $15$ to the sequence, the difference between $15$ and $10$ is indeed $5$ , which is $1$ more than the previous difference of $4$ .