B. \( 6^{\text {th }} \) week II. Work out (Show each siens learly) 6. In an arithmetic sequence, if the \( p^{\text {th }} \) term is \( q \) and the \( q^{\text {th }} \) term is \( p \), find the \( (p+q)^{\text {th }} \) term. Find the first term of the sequence \( 4,12,36,108 \ldots \) which exceeds 20,000 . 8 . Find \( S_{100} \) when the general term \( a_{n}=\frac{n}{n+1}-\frac{n+1}{n+2} \) 9 . Find the absolute maximum valuc of \( f(x)=2 \cos x+x \) on \( [0,2 \pi] \) ? 10. Find the interval on which \( f(x)=x \sqrt{x+1} \) (s increasing?

\( ( \frac { 1 + k } { k } ) ^ { - n } \)

Kevin and Randy Muise have a jar containing 66 coins, all of which are either quarters or nickels. The total value of the coins in the jar is \( \$ 6.50 \). How many of each type of coin do they have?

Graph the line with the equation \( y=-\frac{1}{2} x-1 \)

Twice last month, Judy Carter rented a car from a car rental company and traveled around the Southwest on business. The company rents its car for a daily fee, plus an additional charge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 450 miles, and the rental cost her \( \$ 207.50 \). On her second business trip she drove 200 miles in 3 days, and paid \( \$ 135.00 \) for the rental. Find the daily fee, and find the mileage charge. Daily fee is \( \$ \square \), and the mileage charge is \( \$ \square \).

Graph the line with the equation \( y=-\frac{1}{2} x-4 \)