2. Tobi recruits twice as many students for the project as Erica. Six of the recruits are the same. Which equation describes these facts? (Use \( x \) for Tobi's unique number. Use \( y \) for Erica's unique number.) A \( x+6=2(y+6) \)

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?

Given \( P=\{8,5,3,2,6, x\} \) and \( Q=\{2,7 \), \( y+3,6,3,5\} \). If \( P=Q \), find the values of \( x \) and \( y \).

xpress the answer in simplest radical form. \[ x^{3} y^{2} \sqrt[3]{625 x^{6} y^{8}} \]

- If \( (x)=0 \) has roots \( x=\frac{-5 \pm \sqrt{3-12 k^{2}}}{4} \), for which values of \( k \) will the roots be equal?

El conjunto solución de la ecuación: \( \sqrt[(2 x-1)]{4^{x-3}}=\sqrt{1024} \), es