16.Given that (x - 1), (x+1), (x+ 7) are consecutive terms of a geometric progression. then the common ratio of the progression is В. 3 A. -3 С. -1 D. 2
16.Given that (x - 1), (x+1), (x+ 7) are consecutive terms of a geometric progression. then the common ratio of the progression is В. 3 A. -3 С. -1 D. 2
Chapter9: Sequences, Probability And Counting Theory
Section9.3: Geometric Sequences
Problem 57SE: For which term does the geometric sequence an=36(23)n1 first have a non-integer value?
Related questions
Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
Answer Q16, & 17 showing clearly all steps
Transcribed Image Text:16.Given that (x – 1), (x + 1), C + 7) are consecutive terms of a geometric progression, then
the common ratio of the progression is
В. 3
A. -3
C. -1
D. 2
17.The second and fifth terms of a geometric progression are 1 and 1/27 respectively. The
arン!
ar4
ar
common ratio of the progression is:
B. - D. -
1
A. 3
9.
3.
2
18.If (x-1), (x+1), (x+7) are consecutive terms of a geometric sequence, then x=
A. -5 B. 2
X
C. 1 D. 3
19.The first term of a convergent geometric series is ß and its sum to infinity is 6B, the common
ratio of the series is
B. E
1
C.
D.
6.
A.
В.
6
20.Given that (x - 3), (x + 3), (2x + 1) are in a geometric progression the common ratio of the
progression is:
3
A.
В.
3
C. 12
D. 6
21.The two geometric means between 8 and 64 are:
80 136
C.
3 3
D. 32, 36
A. 16, 32
B. 16, 24
22.If 4, m, 9 are in a geometric sequence and 4, m, n are in an arithmetic sequence thhen:
A. m = 3, n = 4 B. m 4, n= 8C. m = -6, n = -16 0. m = 6, n = 8
23.The sum to infinity of a geometric progression is 2. Given that the first term of this
progression is 3, the fifth term is
B. -
D.--
3
1
C.
16
32
16
24.The sum of the first three terms of a geometric progression is 14. If the first term is 2 then
the value(s) of the common ratio is (are)
A. 2
В. 2. 3
C. -2, 3
D. -3, 2
25.2+1+
+...+ 1/16 =.
39
В.
63
63
С.
D.
2
16
32
26.1f 1-2+4+ ...+ (-1)"+12"-1=-85 then n3=
A. 10
В. 12
С.8
D. 15
27.1-() is the sum of the first n terms of a series. The 4th term of the series is:
A. 16
C.-
15
D.
16
B.-8
16
28.An example of a series which possesses a sum to infinity is:
A. Un= cosNI
3.
B.1++ 2+.
2.
27
3
С.
2.
6.
C.+
3.
D.
27
4
8.
-
...
16
64
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you