WEBVTT
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Write the next three numbers of the following sequence.
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Zero, three, eight, 15, 24.
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In order to write the next three terms, we need to find a pattern between the first five terms.
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To get from zero to three, we add three.
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To get from three to eight, we add five.
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To get from eight to 15, we add seven.
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And to get from 15 to 24, we add nine.
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The first differences between each of our terms are therefore plus three, plus five, plus seven, and plus nine.
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We can see that these are consecutive odd numbers.
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As odd numbers go up in twos, the second differences are all plus two.
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This will continue for the whole sequence.
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To find the first missing number, we need to add 11 to 24.
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This is equal to 35.
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We then need to add 13 to 35.
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This is equal to 48.
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Finally, we need to add 15 to 48.
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This is equal to 63.
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The next three terms of the sequence are 35, 48, and 63.