Question

find the \\(5^{\text{th}}\\) term (not fourth) of the given geometric sequences.

1. \\(1, 8, 64, \dots\\)

1. \\(2000, 1000, 500, \dots\\)

round your answer to the nearest hundredth of a unit if necessary.

1. the table shows the balance in an investment account after each month \\((t)\\). the balances form a geometric sequence. what is the amount in the account at month 6?

\

$$\begin{tabular}{|c|c|} \\hline \\textbf{month} & \\textbf{amount} \\\\ \\hline 1 & 1700 \\\\ \\hline 2 & 2040 \\\\ \\hline 3 & 2448 \\\\ \\hline \\end{tabular}$$

Explanation:

Analyze sequence 1

$$
LATEXBLOCK0
$$

Analyze sequence 2

$$
LATEXBLOCK1
$$

Analyze sequence 3

$$
LATEXBLOCK2
$$

Answer:

Question 1

The 5th term is 4096.

Question 2

The 5th term is 125.

Question 3

The amount in the account at month 6 is 4230.14.