AP Precalculus · Unit 2: Exponential and Logarithmic Functions · Lesson 2.1

Guided Practice: Change in Arithmetic and Geometric Sequences

🧭 Guided Practice
Pick an essential knowledge statement, then step through worked examples one move at a time.
Back to Lesson 2.1
2.1.A.1Concept

A sequence is a function from the whole numbers to the real numbers. Consequently, the graph of a sequence consists of discrete points instead of a curve.

ExampleTerms, positions, and domain1 / 3

A sequence is defined by an = 3n + 2 for whole numbers n. Find a0, a1, and a4. Then find the sixth term in the list and state the domain.

012345605101520naₙ

Try it on paper first, then reveal each step to check your work.

Step 1 — Substitute the input
a0 = 3(0) + 2 = 2. a1 = 3(1) + 2 = 5. a4 = 3(4) + 2 = 14.
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