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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++ +1/16D, B.7 39 63 C. 63 D. 32 16 26.1f !-2+4+ ...+ (-1)"+12"-1=-85 then n= A. 10 В. 12 C. 8 D. 15

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++ +1/16D, B.7 39 63 C. 63 D. 32 16 26.1f !-2+4+ ...+ (-1)"+12"-1=-85 then n= A. 10 В. 12 C. 8 D. 15

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Answer Q24, 25 & 26 showing clearly all steps

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
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
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