1. The first two numbers in a sequence are g(1) = 4 and g(2) = 12.
a. If g is an arithmetic sequence, write a definition for the nth term of g. Explain or show your reasoning.
b. If g is an geometric sequence, write a definition for the nth term of g. Explain or show your reasoning.
Practice
2. A sequence is defined by f(1) = 6 and f(n) = 4 f(n-1), for n ≥ 2. Write a definition for the nth term of f.
3. Here are some values of sequence P. Write a definition for the nth term.
a. Write a recursive definition for the sequence.
n
1
3
5
Date:
P(n)
2
11
20
b. Write a definition for the nth term.