Determine as and an for each geometric sequence. See Example 2. 15. a₁ = 5, r=-2 16. a₁ = 8, r=-5 + 17. a₂-4, r = 3 18. a3 = -2, r=4 19. a 243, r = -3 20. a4 = 18, r= 2

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.3: Geometric Sequences And Series
Problem 5ECP: The second term of a geometric sequence is 6, and the fifth term is 81/4. Find the eighth term....
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Solve question 19. Write out each step and describe what you are doing.
fn
control
Cher Topics in Algebra
y be
-1.
)-1
00
I
option
command
15-45
odd
Determine as and an for each geometric sequence. See Example 2.
15. a₁ = 5, r=-2
16. a₁ = 8, r=-5
17. a₂-4,
r = 3
18. a3 = -2, r=4
19. a 243, r = -3
==
20. a4 = 18, r = 2
21. -4,-12, -36, -108, ...
22. -2, 6, -18, 54, ...
4
23. 2,5,
1 28 32
25
2'*
24.
3...
2'3'9'27'
5 5
9 27
81
25. 10, -5,
26. 3,
4' 16'
64¹
g
Determine r and a for each geometric sequence. See Example 3.
27. a2=-6, a = -192
28. a₂ = -8, a7 = 256
29. a3 = 5, 48 = 6
1
30. a4
www.
ag =
31. a3 = 50, a1 = 0.005
32. a3 = 300, ag =
128
Use the formula for S, to find the sum of the first five terms of each geometric see
In Exercises 37 and 38, round to the nearest hundredth. See Example 5.
33. 2, 8, 32, 128,...
34. 4, 16, 64, 256, ...
9
9
4 4
1
Transcribed Image Text:fn control Cher Topics in Algebra y be -1. )-1 00 I option command 15-45 odd Determine as and an for each geometric sequence. See Example 2. 15. a₁ = 5, r=-2 16. a₁ = 8, r=-5 17. a₂-4, r = 3 18. a3 = -2, r=4 19. a 243, r = -3 == 20. a4 = 18, r = 2 21. -4,-12, -36, -108, ... 22. -2, 6, -18, 54, ... 4 23. 2,5, 1 28 32 25 2'* 24. 3... 2'3'9'27' 5 5 9 27 81 25. 10, -5, 26. 3, 4' 16' 64¹ g Determine r and a for each geometric sequence. See Example 3. 27. a2=-6, a = -192 28. a₂ = -8, a7 = 256 29. a3 = 5, 48 = 6 1 30. a4 www. ag = 31. a3 = 50, a1 = 0.005 32. a3 = 300, ag = 128 Use the formula for S, to find the sum of the first five terms of each geometric see In Exercises 37 and 38, round to the nearest hundredth. See Example 5. 33. 2, 8, 32, 128,... 34. 4, 16, 64, 256, ... 9 9 4 4 1
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