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Type the missing number in this sequence: $\newline$ $-56$ , $-52$ , $-48$ , $-44$ , $-40$ , _____

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Arithmetic sequences

Full solution

Q. Type the missing number in this sequence:

\newline

-56

,

-52

,

-48

,

-44

,

-40

, _____

Determine Pattern: We need to determine the pattern in the sequence. By looking at the sequence, we can see that each number is increasing by $4$ . $\newline$ $-56$ to $-52$ is an increase of $4$ ( $-56 + 4 = -52$ ). $\newline$ $-52$ to $-48$ is an increase of $4$ ( $-52 + 4 = -48$ ). $\newline$ $-48$ to $-56$ $0$ is an increase of $4$ ( $-56$ $2$ ). $\newline$ $-56$ $0$ to $-56$ $4$ is an increase of $4$ ( $-56$ $6$ ).
Calculate Missing Number: To find the missing number, we will add $4$ to the last number in the sequence. $\newline$ $-40 + 4 = -36$
Verify Solution: We check for any mathematical errors in the previous steps. The pattern is consistent, and the arithmetic is correct.

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\newline

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\newline

\newline

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\newline

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