a37.Σ%-1r(r+ 1) = A. (n + 2)(n + 3)B.- ( 2n + 1}(n + 2) n C. (n + 1)(n + 2)D. (n + 1)(n+ 2), 38.If n is even then E-1(-1)" (2r + 1)= C, 0 В. п(п - 4) D. " (n + 1) (n + 2). А. п Th th torm

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,...
icon
Related questions
Question

Solve Q37 & 38 Showing detailly all steps

3x
2+x
29. The set of real values of x for which the series ) is convergent is
1
2
A. x<1 B. - -<x <1_C.x<-- OR x > 1 D. x>-
X
2
30. If the third term of a geometric sequence is – 1/3 and the sixth term is 1/81. The sum to
infinity of the sequence is:
2
C. -
6.
В. -
D.
2
-
A.
2
4
4
31.If the sum of the first three terms of a geometric series is ¾ and its sum to infinity is 2/3 then
the common ratio is:
A. -
в. -
D.
3
В.
3
С.
2
32. Σ?0, (3r- 2)
A. 588 B. 590 .C. 592 D. 630
|
33. ΣΥ(2r - 3) =
A. - (n – 5)
B. n(n + 1) – 3
С. п (п — 5)
D. n(n – 2)
2
A. 3 B.C D
r-1
3
34.Σ-)
B. C. D.
4
2
35.Σ?0, (-1)" =
A. 100
B. 50
C. 10 D. 0
36.ΣΤ41 (r - 1) =
n+1
r=1
B. -n(n + 1)
A. -n(n + 2) – (2 + 1)
Cn(n + 1) – (n + 1)
2
2
D. - n(n + 1)
2
37.1r(r + 1) =
A. - (n + 2)(n 3)B.-( 2n +1)(n + 2)
2
3
C.- (n + 1) (n + 2)D. (n + 1)(n + 2),
38.If n is even then E-1(-1)" (2r + 1),=
A. n
B. n(n - 4)
C, 0
D. (n + 1)(n + 2).
2
39.The sum of the first n terms of a' series is given by s
= 5n² + 2n. The nth term of the series
To= Sn-Sn-
is
A.10n+7
B10n-3
C.10n+3
D.10n- 7.
40. 1++++=A.
1
1
B.
31
C. 7
D. 2
--
|
2
4
16
2
Transcribed Image Text:3x 2+x 29. The set of real values of x for which the series ) is convergent is 1 2 A. x<1 B. - -<x <1_C.x<-- OR x > 1 D. x>- X 2 30. If the third term of a geometric sequence is – 1/3 and the sixth term is 1/81. The sum to infinity of the sequence is: 2 C. - 6. В. - D. 2 - A. 2 4 4 31.If the sum of the first three terms of a geometric series is ¾ and its sum to infinity is 2/3 then the common ratio is: A. - в. - D. 3 В. 3 С. 2 32. Σ?0, (3r- 2) A. 588 B. 590 .C. 592 D. 630 | 33. ΣΥ(2r - 3) = A. - (n – 5) B. n(n + 1) – 3 С. п (п — 5) D. n(n – 2) 2 A. 3 B.C D r-1 3 34.Σ-) B. C. D. 4 2 35.Σ?0, (-1)" = A. 100 B. 50 C. 10 D. 0 36.ΣΤ41 (r - 1) = n+1 r=1 B. -n(n + 1) A. -n(n + 2) – (2 + 1) Cn(n + 1) – (n + 1) 2 2 D. - n(n + 1) 2 37.1r(r + 1) = A. - (n + 2)(n 3)B.-( 2n +1)(n + 2) 2 3 C.- (n + 1) (n + 2)D. (n + 1)(n + 2), 38.If n is even then E-1(-1)" (2r + 1),= A. n B. n(n - 4) C, 0 D. (n + 1)(n + 2). 2 39.The sum of the first n terms of a' series is given by s = 5n² + 2n. The nth term of the series To= Sn-Sn- is A.10n+7 B10n-3 C.10n+3 D.10n- 7. 40. 1++++=A. 1 1 B. 31 C. 7 D. 2 -- | 2 4 16 2
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Linear Equations
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
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education