Question

18. Generate the next three terms of each geometric sequence defined below. (b) 4.-4.4 % and a = 16 (e) f(x) = f(n-1)-2 and S (1)=5 (a) 4 = -8 with 19. Given that 4-5 and a, = 15 are the first two terms of a geometric sequence, determine the values of 4, and a,,. Show the calculations that lead to your answers. 20. In a geometric sequence, it is known that 4 -- and a. -64. The value of a, is (1) -65,536 (3) 512 (2) 262,144 (4) -4096 22. Write a recursive formula, a to describe the sequence graphed below. 21. Savannah just got contact lenses. Her doctor said she can wear them 2 hours the first day, and can then increase the length of time by 30 minutes each day. If this pattern continues, which formula would not be appropriate to determine the length of time, in either minutes or hours, she could wear her contact lenses on the nth day? 100 +04. 108 , 120 50 4,,- +30 2. = 90+30 2 (3, 35) 12.12 3 2. = 2 2 3 4 2.-4.- +0.5 4. = 2.5 +0.51

Answer 1

His Solution 1 (9) 9, = -8 r=-1 92-9, = -1 92= -1-8 92=-9 93-92 = -1 93 = -1-9 92=-lo au-93=-1 ay = -1-10 945-11 (b) a = 16 an= an-1 ( 3 ) 92 = 9,0 92= 16(3) =) 122=24 3= 24 (²) = 193=36 qu= 361) 194=54 [C] f(n) = f(n-1).(-2) f(1) =s

21 (2) = F(1) (-2) f(2)= 5 (-2) f(2)= -10 f(3) = f(2) (-2) (3) = - 10 (-2) F(3): 20 (५)- F(3) (-2) (५)= 26 (-2) F (4)- - (4)- -40 19 q=s १2 = 15 ४- 92 - 3 प 1/05 So, Series - (41) (42) (43) IS 45 (44) 135 (As) (6) (1) 4.5 | 215 3645 (48) (११) 16935 (40) 98415 32805 १ - .-1 १५- 64 १? an= 9,2 (0-1) (4-1) १५- १४

3 910 = 9,89 64 = (-1) 83 83=-64 3 r= 3-64 910= ar &3g3x3 910 = (-1)(-60)(-60) (-64) 262144 21 a = 2 an= analtoos 92= altoos a2= 2 to.s 92 - - 2.5