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Arithmetic Sequences

CONCEPTS

Arithmetic Sequence

• A series of numbers changes with the same difference

• Look for words, "arithmetic sequence" or "constant difference" in the question


Arithmetic Sequence: series of numbers with a constant difference (d)

• d = aₙ – aₙ₋₁

• aₙ = a₁ + (n – 1) * d


EXAMPLES

Given the sequence, what is the difference?

1,3,5 => difference = 2

2,5,8 => difference = 3

ACT PRACTICE PROBLEMS

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