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The terms in this sequence increase by the same amount each time. work out the three missing terms to complete the sequence 4, __, __, __, 16

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Final answer:

To complete the arithmetic sequence 4, __, __, __, 16, find the difference between the terms and divide it by the number of missing terms, which results in an increase of 4 between each term.

Step-by-step explanation:

The sequence given is 4, __, __, __, 16, where the terms increase by the same amount each time. To find the missing terms, we need to determine the difference between the given terms. There is a gap of three terms, and the final term is 12 greater than the first (16 - 4 = 12). Since the sequence increases by the same amount, we can divide this difference equally between the three missing terms, which is 12 ÷ 3 = 4. Therefore, each term increases by 4 compared to the previous term. The complete sequence is 4, 8, 12, 16.

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