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Find the explicit formula. 28, 58, 88, 118,…

1 Answer

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An arithmetic sequence is a sequence of numbers such that the difference d between each consecutive term is a constant, the arithmetic sequence has the following explicit formula:

an = a1 + (n - 1)d

Where a1 is the first term and d is the common difference.

The common difference can be calculated by taking the difference between consecutive terms, like this:

d = 58 - 28 = 30

The first term a1, for this sequence is 28, then we can rewrite the explicit formula like this:

an = 28 + 30(n - 1)

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