Answer:
The first five terms of the sequence are: 2000, 2100, 2205, 2315.25, 2431.01.
Step-by-step explanation:
The sequence is modeled by the equation:
[tex]a_{n} = 2000(1.05)^{n}[/tex]
(a) Find the first five terms of the sequence {an}.
[tex]a_{n} = 2000(1.05)^{n}[/tex]
[tex]a_{0} = 2000(1.05)^{0} = 2000[/tex]
[tex]a_{1} = 2000(1.05)^{1} = 2100[/tex]
[tex]a_{2} = 2000(1.05)^{2} = 2205[/tex]
[tex]a_{3} = 2000(1.05)^{3} = 2315.25[/tex]
[tex]a_{4} = 2000(1.05)^{4} = 2431.01[/tex]
The first five terms of the sequence are: 2000, 2100, 2205, 2315.25, 2431.01.
