Find the common difference. 1) 5, 8, 11, 14, ... 2) 5, 35, 65, 95, ... A) d=-1 B) d= -3 A) d = 31 B) d=-33 C) d = 3 D) d = 1 C) d = 33 D) d = 30 Find the common ratio. 3) 2, -6, 18, -54, ... 4) -4, 24, -144, 864, ... A) r=-3 Br= A) r= -6 B) r= N / C) r= 3 D r= C) 1= - - D) r= N - w / Given a term in a geometric sequence and the common ratio find the first five terms. 5) a = 256, r=4 6) a, =-32, r=-4 A) 5, - 5 5 5 5 A) 1, -2, 4, -8, 16 ' 4' 16' 64' 256 B) -1, -2, -4, -8, -16 3 3 3 3 C) -2, 8, -32, 128, -512 B) 6, 7' 8' 32' 128 D) -1, 4, -16, 64, -256 C) 4, 1, - 1 1 1 4' 16' 64 D) 4, 16, 64, 256, 1024 Find the explicit formula. 7) 3, -18, 108, -648, ... 8) -3, -6, -12, -24, ... A ) a = - -. . 50-1 A) a = -3. 2" -1 B) a =-5. 2"-1 B) a = -3.5"-1 C) a = 5 . (-2)"-1 C) a = 3 . (-6)"-1 D) a = -4. 2"-1 D) a =-3. 6"-19) a=4.3"" 10) a =2-5""" 4 256 2 A) a="m B) a =8748 A g = L O ) 4= 3187 ) a ) 4= 8125 ) %= 31s C) a =1 D) a e d C)a s D) a ,=156250 5 6561 5 2187 5 78125 s Given two terms in an arithmetic sequence find the first five terms. 11) a,=169 and a, =319 12) a,=-69 and a, =-165 A) -1, 11, 23, 35, 47 A) 3, -3, -9, 15, -21 B) 13, 25, 37, 49, 61 B) 9, 3, -3, -9, -15 C) 11, 23, 35, 47, 59 C) -4, -11, -18, =25, =32 D) -1, 9, 19, 29, 39 D) 3, -4, -11, -18, 25 Find the sum of the series. 13) 2, 4, 6, 8 14) 16, 22, 28, 34 A) 36 B) 40 A) 406 B) 100 C) 20 D) 72 C) 205 D) 200 15) 16) -6 -2 A) y=3 B) Y= A) y = B) Y= N 5 4 3 C) y= - 3 * D) y = 2 C) y = 7. D) y=- 2 Solve each discrete exponential growth/decay problem. 17) For tax purposes, a car rental company 18) An architect is designing a tapered office assumes each car in their fleet depreciates tower where the ground floor (floor 0) is by 10% per year. If the initial value of a the largest and the floor space is reduced car is $32,400.00, what will the value be by 8% per floor. If the ground floor has when the car is 6 years old? an area of 1,040.0 m2, what is the area of A) $20,662.43 B) $24,278.35 the 7th floor? C) $20,490.24 D) $17,218.69 A) 777.5 m B) 516.4 m2 C) 580.2 m2 D) 388.7 m2 19) An employee receives a 4% raise once per 20) A savings account balance is compounded year. If the employee's initial salary is annually. If the interest rate is 4% per $70,500.00, what will the employee's year and the current balance is $1,924.00, salary be after 10 years? what will the balance be 10 years from A) $85,572.92 B) $104,357.22 now? C) $123,141.52 D) $117,923.66 A) $2,221.43 B) $1,708.79 C) $2,847.99 D) $2,904.9521) log 59 A) 2.484 B) 1.458 C) 1.064 D) 1.771 22) log, 55 A) 1.143 B) 1.925 C) 2.059 D) 1.515 Solve each equation. Round your answers to the nearest ten-thousandth. 23) 9% =69 A) 0.3065 B) 0.3212 C) 0.6679 D) 0.7057 25) 2"-4=10.1 A) 3.8176 B) No solution. C) 2.6462 D) 1.1492 27) 5-12=8 A) 0.2041 B) 0.47 C) 0.1891 D) No solution. Condense each expression to a single logarithm. 29) Slogs 6 +6log 7 65 A) 10g5 B) log, (11V42 C) log, (7- 69) 66 D) logs 31) 5log, 12-5log, 7 225 A) log, ! 75 5 12 B) log, 275 C) log, (7- 12) D) log, (115\\3/1_2) 24) 10*> =4 A) 4.5497 B) -5.2979 C) No solution. D) 4.5137 26) 10" -7=92 A) 4.1968 B) 4.851 C) 4.5951 D) 1.9956 28) 9.9 =-64 A) 0.8519 B) No solution. C) 1.9617 D) 0.8928 30) 6log, a+2log, b 2 a A) log46 B) log, (03@ C) log, (b%) 6 a D) log4}; o 32) 18log, 7-6log, 8 6 7 A) 10g4 18 B) logqg C) log, V168 D) log, (8'-7) 33) Find AC 34) Find AC 25 m 53 68 34 33 C C 34 yd B A) 16 m B) 21.1 m A) 16 yd B) 19 yd C) 23 m D) 20 m C) 22.7 yd D) 20 yd 35) Find AB 36) Find AC 23 km 180 26 cm 15 km 1140 C B 15 cm C A) 9.9 km B) 11.2 km A) 40.3 cm B) 29 cm C) 8.7 km D) 13.1 km C) 34.9 cm D) 36.6 cm 37) Find mLC 38) Find mZA 19 km 13 km 22 m 24 m 17 km B B 26 m A) 72 B) 57.5 A) 55.70 B) 520 C) 60.80 D) 70.70 C) 53.90 D) 46.5 Solve each triangle. Round answers to the nearest tenth. 39) 40) 570 6.8 B A) mZA =47.10, mLB = 42.90, c = 18.4 A) mLB =33, a = 10.5, c= 12.8 B) mLA = 45.70, mLB =44.30, c= 18.4 B) mLB =330, a= 10.9, c= 13.5 C) mLA = 44.80, mLB = 45.20, c= 18.4 C) mLB = 330, a= 10.5, c= 12.5 D) mLA = 49.40, mLB =40.60, c= 18.4 D) MLB =330, a=8.2, c= 8.941) 42) B 61. A 9.2 C B A) mLA =290, b =6.1, a=3.4 A) mZA =230, MLB =670, c= 10 B) mZA =290, b =4.7, a= 3.4 B) mZA = 23.50, mLB = 66.50, c= 10 C) mLA = 290, b=4.9, a=3.7 C) mLA = 25.70, mLB = 64.3, c= 10 D) mLA = 290, b=4.7, a=2.7 D) mZA =22.20, m/B=67.8, c= 10 Find the measure of each angle. 43) 44) 85 A) 710 B) -530 A) 4550 B) 6250 C) -710 D) -640 C) 3650 D) 440 Find the exact value of each trigonometric function. 45) tan 390 46) cos 31x A) V3 B) V2 6 3 N V2 A) B) C) Undefined DO 2 2 V3 C) D 1 2 47) sin -390 48) CSC 197 V3 4 A) B) 3 V2 B) O V3 A) C) D) -2 2 D) - V3