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Find an explicit formula for the arithmetic sequence -5,13,31,49,

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The common difference dividing each term from the next is 18.

Then a(n) = -5 + (n-1)(18)

Check: find a(1) using this formula. Is a(1) = -5? a(1) = -5 + (1-1)(18) does equal -5.

Find a(2); a(2) = -5 + (2-1)(18) = -5 + 18 = 13. Correct.
User Tmikeschu
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