Discrete Mathematics Power Series Online Exam Quiz
Discrete Mathematics Power Series GK Quiz. Question and Answers related to Discrete Mathematics Power Series. MCQ (Multiple Choice Questions with answers about Discrete Mathematics Power Series
Determine the interval and radius of convergence for the power series: ??n=17n/n(3x?1)n-1.
Options
A : (2x+1)/6
B : 7|3x?1|
C : 5|x+1|
D : 3!*|4x?9|
Determine the radius of convergence and interval of convergence for the power series: ??n=0 (x?7)n+1/nn.
Options
A : 0, ?1<x<1
B : ?, ??<x<?
C : 1, ?2<x<2
D : 2, ?1<x<1
The explicit formula for the geometric sequence 3, 15, 75, 375,… is _______
Options
A : 2*6! * 3n-1
B : 3 * 5n-1
C : 3! * 8n-1
D : 7 * 4n-1
What is the radius of convergence and interval of convergence for the power series ??n=0m!(2x-1)m?
Options
A : 3, 12
B : 1, 0.87
C : 2, 5.4
D : 0, 1/2
The third term of a geometric progression with common ratio equal to half the initial term is 81. Determine the 12th term.
Options
A : 312
B : 415
C : 68
D : 59
sec(x) has a trigonometric series that is given by _______
Options
A : ??n=0 ((-1)nE2n / (2n)!)*x2n
B : ??n=0 ((-1)nE2n)
C : ((-1)nB2n / (2n)!)*x2n
D : ??n=0 ((2n)!)*x2n+1
An example of Maclaurin series is _______
Options
A : ??n=0 (xn/n!)
B : ??n=0 (x/5+n!)
C : ??n=0 (xn+1/(n-1)!)
D : (xn/n)
Determine a power series representation for the function g(x)=ln(7?x).
Options
A : ??n=0 xn+1/7n+1
B : ln(14)??n=0 xn+1/7n
C : ln(7)??n=0 xn+1/7n+1
D : ln??n=0 x/7n+1
Find the power series representation for the function f(x)=x/4?x.
Options
A : ??n=0xn+1/4n+1
B : ??n=0xn+14n
C : ??n=0xn4n
D : ??n=0xn+1
Which of the following series is called the “formal power series”?
Options
A : b0+b1x+b2x2+…+bnxn
B : b1x+b2x2+…+bnxn
C : 1/2b0+1/3b1x+1/4b2x2+…+1/nbnxn
D : n2(b0+b1x+b2x2+…+bnxn)
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