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Arithmetic Sequences - Problem 17

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Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

If you are asked to find the hundredth number in a pattern, you could write out all 100 numbers and hope you don't make any mistakes along the way, or you could use a shortcut: the explicit formula. The explicit formula is used to find any term in a number pattern if you know the d, or common difference being added/subtracted each time, and the first number in the pattern.

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