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1. Give a recursively describe for the sequence "an" given below, including initial conditions and assume that the sequences begin with a1. an = the number of bit strings of length n that contain a pair of consecutive 0's.
2. Consider the recurrence relation an = 2an-1 + 3n. (a) Write the associated homogeneous recurrence relation. (b) Find the general solution to the associated homogeneous recurrence relation. (c) Find a particular solution to the given recurrence relation. (d) Write the general solution to the given recurrence relation. (e) Find the particular solution to the given recurrence relation when a0 = 1.
3. Consider the recurrence relation an = 3an-1 + 5n. (a) Write the associated homogeneous recurrence relation. (b) Find the general solution to the associated homogeneous recurrence relation. (c) Find a particular solution to the given recurrence relation. (d) Write the general solution to the given recurrence relation. (e) Find the particular solution to the given recurrence relation when a0 = 1.
Given the date below find the US Net Growth rate due to births and deaths (i.e neglect) in 1985, 1995, and 2007
Suppose A(3,-1,0) and B(-4,-2,3) are 2 points in 3-space. Find a vector with the following three characteristics: initial point at the origin, collinear but in the opposite direction of vector AB , length 3
A silver dollar is flipped twice, calculate the probability of each of the following occurring: A, a head on the first flip
Odds and probability, A casino states that the house odds (note: house odds are the odds that the gambler will lose) for a certain game are 23 to 2.
The instructions are as follows: write each equation in slope-intercept form and then find the slope and y-intercept.
Find your two rational expressions in the list below based on the first letter of your first name and explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero.
Apply an ANOVA with alpha
Indicate whether each system is independent, inconsistent or dependent
When the members of the Eye and I Photo Club discussed what type of film they had used during the past month, the following information was obtained; 77 used black and white film, 24 used only black and white, 65 used color, 18 used only color
Probability Assume that the table below summarizes a survey involving the relationship between living arrangements and grade point average (GPA) for a group of students. If we select a student randomly from this group,
Where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semi-skilled person. Find values of x and y that minimize the labor charge. Find the minimum labor charge.
A medical equipment manufacturing company tested the reliability of blood pressure monitors. It measured the time to failure of 20 randomly sampled monitors it produced. Listed below are the 20 measurements (in months) for the time to first failur..
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