Pre-Calculus 11 · Algebra & Patterning
Geometric Sequences and Series
A geometric sequence multiplies by the same ratio each time: 2, 6, 18, 54, … The general term tₙ = ar^(n−1) grows exponentially. Summing a finite geometric series gives a formula with profound applications: compound interest is a geometric series in disguise. Students see mathematics connect directly to how savings accounts and loans actually work.
WHAT STUDENTS WILL LEARN
✓Identify a geometric sequence by its common ratio
✓Write the general term: tₙ = ar^(n−1)
✓Calculate the sum of a finite arithmetic or geometric series
✓Apply series to financial mathematics: compound interest and annuities
BUILDS ON
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