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Consider the following sequence, {1,3,5,7,9,11,...}
a. Is the sequence arithmetic or geometric? How do you know?
b. Give an explicit form of this sequence (i.e. a formula that can find the nth term) and state the 50th term.
c. Add the first 50 terms of this sequence using the appropriate formula.
Let R be a PID. Consider the Diophantine equation ax+by=N where a,b and N are integers and a,b are nonzero. Suppose x_0, y_0 is a solution: ax_0+by_0=N.
Probability and Statistics : Poisson Distributions and Standard Deviations, The number of violent crimes committed in a large city follows a Poisson distribution with an average rate of 10 per month.
Describe the event "more heads than tails" in terms of the sample space.
Suppose a rectangular plot runs along a building, so that you only need to fence three sides. What dimensions will now yield a maximum area with 100 meters of fencing?
find the velocity vector at a particular point vector projection of acceleration and the length of the curve between
If the perimeter of an equilateral triangle is 153 feet, what is the measure of one side of the triangle? Show work.
What societal factors may have caused the U.S. Supreme Court to abandon the rule of stare decisis in the Lawrence v. Texas and Bowers v. Hardwick cases?
a woman 6 feet tall walks at a constant rate of 5 feet per second away from a light that is 15 ft. above the ground.
Develop a joint probability table. Develop a probability tree showing all marginal, conditional, and joint probabilities.
suppose a bucket is placed under two facets. If one faucet is turned on alone, the bucket is filled in 5 minutes. Write a fraction of the bucket that will be filled in 1 minute.
The sides of a triangle are in the ratio of 3:4:5. If the perimeter is 90 centimeters, find the length of each side. Use the Pythagorean Theorem to find the length of the missing side in right triangle. Triangle ABC with right triangle C.
a charity sells tickets for a fundraising dinner. each adults ticket cost 10 dollars and each childs ticket cost 5 dollars. a total of $1050 was raised by selling 130 tickets. how many adults and child tickets were sold?
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