Write the first four terms of the sequence whose general term is given.
-A deposit of $\$ 11,000$ is made in an account that earns $5.6 \%$ interest compounded quarterly. The balance in the account after $n$ quarters is given by the sequence
$$a _ { n } = 11,000 \left( 1 + \frac { 0.056 } { 4 } \right) ^ { n } , n = 1,2,3 , \ldots$$
Find the balance in the account after 4 years.
A) $\$ 13,740.42$
B) $\$ 4996.52$
C) $\$ 11,629.06$
D) $\$ 3762.52$

Question

Quizplus · Accepted Answer

The balance after 4 years (which is 16 quarters, since there are 4 quarters in a year) is calculated using the given formula with $n = 16$: $a_{16} = 11,000(1 + \frac{0.056}{4})^{16}$. This results in a balance of approximately $\$13,740.42$.

Write the First Four Terms of the Sequence Whose General $11,000\$ 11,000$11,000

Write the First Four Terms of the Sequence Whose General $\$ 11,000$