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-3,-3,-1,-4,dots,-11,-17

$-3,-3,-1,-4, \ldots,-11,-17$

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Find terms of a sequence

Full solution

Q.

-3,-3,-1,-4, \ldots,-11,-17

Find Pattern in Sequence: We need to find the pattern in the sequence. Look at the differences between the numbers: $-3 - (-3) = 0$ , $-1 - (-3) = 2$ , $-4 - (-1) = -3$ . The differences don't form a clear pattern yet, let's look at the next differences. $-11 - (-4) = -7$ , $-17 - (-11) = -6$ .
Examine Differences Between Numbers: The differences between the numbers are not consistent, but let's try to see if there's a pattern in the differences of the differences. $\newline$ $0$ to $2$ is $+2$ , $2$ to $-3$ is $-5$ , $-3$ to $-7$ is $-4$ , and $-7$ to $2$ $0$ is $2$ $1$ . $\newline$ This still doesn't show a clear pattern.

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