Question

Use the iterative rule to find the 5th term in the sequence: an = 4*3^(n-1)

Answer 1

we have

$a_n=4\cdot3^{n-1}$

in this case n=5

then we substitute the values on the iterative rule

$\begin{gathered} a_5=4\cdot3^{5-1} \\ a_5=4\cdot3^4 \\ a_5=4\cdot81 \\ a_5=324 \end{gathered}$

the answer is a5=324