Write the first four terms of the sequence whose general term is given.
-A deposit of $\$ 8000$ is made in an account that earns $8 \%$ interest compounded quarterly. The balance in the account after $n$ quarters is given by the sequence
$a _ { n } = 8000 \left( 1 + \frac { 0.08 } { 4 } \right) ^ { n } \quad n = 1,2,3 , \ldots$
Find the balance in the account after 28 quarters.
A) $\$ 13,928.19$
B) $\$ 14,014.19$
C) $\$ 13,989.19$
D) $\$ 13,781.19$

Question

Quizplus · Accepted Answer

The balance after 28 quarters is calculated using the formula $a _ { n } = 8000 \left( 1 + \frac { 0.08 } { 4 } \right) ^ { n }$. Substituting $n = 28$, we get $a _ { 28 } = 8000 \left( 1.02 \right) ^ { 28 } \approx 13,928.19$.

Write the First Four Terms of the Sequence Whose General $8000\$ 8000$8000

Write the First Four Terms of the Sequence Whose General $\$ 8000$