ADV.ALG/TRIG 2ND SEMESTER FINAL EXAM

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

• -216
• -148
• -146
• -150

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

Find a₁₂ in the sequence -1, -3, -9, -27, ...

• -177,147
• -19,683
• -59,049
• 118,098

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1

Solve the following exponential equation:
 $9^{8-x}=27^{x-3}$  

•  $x=5$  

•  $x=-5$  

•  $x=\frac{1}{5}$  

•  $x=-\frac{1}{5}$  

Solve:

log (x - 1) - log (x - 2) = log 5

• 7

• 4/9

• 9/4

• 1/7

log₉(x)+log₉(x+2)=log₉(35)

• 5
• -7
• 5, -7
• -7, -13

Simplify
(x²-49)/(x²+9x+14)

• (x-7)/(x+2)
• (x+7)/(x+2)
• (x-7)/(x-2)
• (x+7)/(x+2)

• A.
• B.
• C.
• D.