Type the missing number in this sequence: 1, 1, _____, 4, 7, 11, 16

Identify Pattern: Step 1: Identify the pattern in the sequence. We start by looking at the differences between consecutive terms: 1 to 1 has a difference of 0, 1 to the missing number (let's call it x) will have a difference we need to find, x to 4, 4 to 7 has a difference of 3, 7 to 11 has a difference of 4, 11 to 16 has a difference of 5. It seems like the differences are increasing by 1 each time. Calculate Missing Number: Step 2: Calculate the missing number using the identified pattern. If the differences increase by 1 each time, the difference before 3 (between x and 4) should be 2. So, x - 1 = 2, x = 3.

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Type the missing number in this sequence: $\newline$ $1$ , $1$ , $\_$ , $4$ , $7$ , $11$ , $16$

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Math Problems

Grade 8

Sequences: mixed review

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Q. Type the missing number in this sequence:

\newline

1

1

\_

4

7

11

16

Identify Pattern: Step $1$ : Identify the pattern in the sequence. $\newline$ We start by looking at the differences between consecutive terms: $\newline$ $1$ to $1$ has a difference of $0$ , $\newline$ $1$ to the missing number (let's call it $x$ ) will have a difference we need to find, $\newline$ $x$ to $4$ , $\newline$ $4$ to $7$ has a difference of $3$ , $\newline$ $7$ to $1$ $1$ has a difference of $4$ , $\newline$ $1$ $1$ to $1$ $4$ has a difference of $1$ $5$ . $\newline$ It seems like the differences are increasing by $1$ each time.
Calculate Missing Number: Step $2$ : Calculate the missing number using the identified pattern. $\newline$ If the differences increase by $1$ each time, the difference before $3$ (between $x$ and $4$ ) should be $2$ . $\newline$ So, $x - 1 = 2$ , $\newline$ $x = 3$ .