Question

CC.3 Evaluate explicit formulas for sequencesNV5Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 10(2)n

Answer 1

Given

$a_n=10(2)^n$

Find the first 5 terms of the sequence setting n=1, 2, 3, 4, and 5 as shown below

$\begin{gathered} \Rightarrow a_1=10(2)^1=10*2=20 \\ a_2=10(2)^2=40 \\ a_3=80 \\ a_4=160 \\ a_5=320 \end{gathered}$

The answer is 20, 40, 80, 160, 320