Unit 1, Lesson 5
Sequences Are Functions
Algebra 2
Practice
Problem 1
Match each sequence with one of the definitions. Note that only the part of the definition showing the relationship between the current term and the previous term is given to avoid giving away the solutions.
6, 12, 18, 24
2, 14, 98, 686
160, 80, 40, 20
\(a(n) = 7 \boldcdot a(n-1)\)
\(b(n) = \frac 1 2 \boldcdot b(n-1)\)
\(c(n) = c(n-1) + 6\)
Problem 2
Write the first five terms of each sequence. Determine whether each sequence is arithmetic, geometric, or neither.
- \(a(1) = 7, a(n) = a(n-1) - 3\) for \(n\ge2\).
- \(b(1) = 2, b(n) = 2 \boldcdot b(n-1) -1 \) for \(n\ge2\).
- \(c(1) = 3, c(n) = 10 \boldcdot c(n-1)\) for \(n\ge2\).
- \(d(1) = 1, d(n) = n \boldcdot d(n-1)\) for \(n\ge2\).