39.The sum of the first n terms of a series is given by s = 5n² + 2n. The nth term of the serier To-Sn-Sn-i is A.10n+7 B.10n-3 C.10n+3 D.10n- 7. 31 40.1+- -+-+=A.-- 16 C. 7 D. 2 В. 2 4 8.
39.The sum of the first n terms of a series is given by s = 5n² + 2n. The nth term of the serier To-Sn-Sn-i is A.10n+7 B.10n-3 C.10n+3 D.10n- 7. 31 40.1+- -+-+=A.-- 16 C. 7 D. 2 В. 2 4 8.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Question
Solve Q39 & 40 Showing detailly all steps
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
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