(Solved): Consider the sequence defined by the explicit formula AN=N+56N. (a) Find A1. (b) Find A2 ...

Consider the sequence defined by the explicit formula $A_N=\frac{6N}{N+5}$. (a) Find $A_1$. (b) Find ${\mathrm{A}}_2$. (c) Supposo $A_N=\frac{9}{2}$, Find $N$. (a) $A_1=$ (Simplify your answer.) (b) $A_2=$ (Simplify your answer.) (c) If ${\mathrm{A}}_{\mathrm{N}}=\frac{9}{2}$, then $\mathrm{N}=$ (Simplify your answer.) In 2016 , the number of mathematics majors at a certain university was 432 ; in 2017 , the number of mathematics majors was 460 . Find the growth rate (expressed as a percent) of mathematics majors from 2016 to 2017. The growth rate was approximately $\%$. (Do not round until the final answer. Then round to two decimal places as needed.) Suppose a three-year bond is purchased with an APR of $4.75\%$. The face value of the bond is $\$6000$. Find the purchase price of the bond. The purchase price of the bond is $\$$ (Round to the nearest cent as needed.)