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Geometric Sequences
By Taylor Jordan
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Last updated almost 6 years ago
14 questions
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Note from the author:
Practice over Geometric Sequences - writing the rules and finding the nth term.
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Question 8
8.
Write the rule and find a
6
{2, -8, 32, -128, ...}
Sequence is not geometric
Question 9
9.
Write the rule and find a
6
.
{8, 24, 72, 216, ...}
Sequence is not geometric
Question 10
10.
Write the rule and find a
6
.
{135, 90, 60, 40, ...}
Sequence is not geometric
Question 11
11.
Write the rule and find a
6
.
{-3200, 800, -200, 50, ...}
Sequence is not geometric
Question 12
12.
Use the informative give to find the indicated value.
a
5
= -68 and r = -0.5; find a
1
-1088
Sequence is not geometric
-
34
Question 13
13.
Use the information given to find the indicated value.
HINT: Plug in the information you have to find "r" first.
a
1
= 13 and a
4
= 4459; find a
3
637
1183
Sequence is not geometric
594
Question 14
14.
Use the given information and find the indicated value.
HINT: Plug in the information you have to find "r" first.
a
2
= 6 and a
5
= 6/125; find a
4
Sequence is not geometric
5400
Question 1
1.
Determine whether the sequence is geometry. If yes, identify the common ratio and give the next three terms.
{-2, 10, -50, 250,...}
Yes; r = -1/5; -50, 10, -2
Yes; r = -5; -1250, 6250, -3120
No it is not Geometric
Yes; r = 5; 1250, 6250, 3120
Question 2
2.
Determine whether the sequence is geometry. If yes, identify the common ratio and give the next three terms.
{4, 8, 20, 60, ...}
Yes; r = 2; 120, 240, 480
No, it is not geometric
Yes; r = 3; 180, 540, 1620
Question 3
3.
Determine whether the sequence is geometry. If yes, identify the common ratio and give the next three terms.
No, it is not Geometric
Yes; r = -1/4; 1/64, -1/256, 1/1024
Yes; r = -4; 1/4, -1, 4
Question 4
4.
Determine whether the sequence is geometry. If yes, identify the common ratio and give the next three terms.
{2, 4, 16, 256, ...}
No, it is not geometric
Yes; r = 4; 1024, 4096, 16384
Yes; r = 2; 2048, 20480, 245760
Question 5
5.
Determine whether the sequence is geometry. If yes, identify the common ratio and give the next three terms.
{-2, -14, -98, -686, ...}
No, it is not geometric
Yes; r = -7; 4802, -33164, 232148
Yes; r = 7; -4802, -33164, -232148
Question 6
6.
Determine whether the sequence is geometry. If yes, identify the common ratio and give the next three terms.
{3.2, 8, 20, 50, ...}
Yes; r = 5/2; 125, 312.5, 781.25
No, it is not geometric
Yes; r = 2/5; 20, 8, 3.2
Question 7
7.
Write a rule for each sequence, then find a
6.
Sequence is not geometric