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Geometric sequences

CONCEPTS

Geometric Sequence

• A series of numbers that changes by the same rate (or there is a common ratio)

• Look for words, "geometric sequence" or "constant ratio" in the question


Geometric Sequence: series of numbers that change by the same rate (r)

• r = aₙ / aₙ₋₁

• aₙ = a₁ * r ⁿ⁻¹


EXAMPLES

Given the sequence, what is the ratio?

2,4,6,8,10 => ratio = 2

3,12,48,192 => ratio = 4

ACT PRACTICE PROBLEMS

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