Find out a new sequence
Assume {an} from n=1 to infinity converges to A, and find out a new sequence {bn} from n=1 to infinity by bn=(an+a(n+1))/2 for all n. Prove that {bn} from n=1 to infinity converges to A.
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Use the enhanced Euler's technique to approximate the solution to the initial value problem y= x/y, y(0) = ?1 at the point x =0.5, using steps of size h =0.25. Compare your answer with the actual solution (found by solving the equation) and with
Management of Davis's Department Store has employed time-series extrapolation to forecast retail sales for the next four quarters. The sales estimates are $100,000, $120,000, $140,000, and $160,000 for the respective quarters before adjusting for
An inspector working for manufacturing company has 99% chance of correctly determining defective items and a 0.5% chance of incorrectly classifying a good item as defec- tive. The company has evidence that its line produces 0.9% of nonconforming i
When planning a party you desires to know whom to invite. Among people you would like to invite are three touchy friends. You know that if Jasmine attends, she will become unhappy if Samir is there, Samir will attend only if Kanti will be there,
Suggest a tetrahedron with following vertices (x,y,z): (2,2,2), (3,2,2), (2,3,2) and (2,2,3). Rotate the tetrahedron about the origin and around the z axis at 45 degrees counter clock wise.
A student currently has $16,000 in debt from the student loan with 6% annual interest, If they don't make any payments, how much money will the student owe after five years? Write down a recurrence relation and initial condition.
Assume G is a multiplicative group and g element G. The centralizer of g is the set of C_g= {h element G| hgh^(-1) = g}. Prove that C_g is group with law of composition of G. Please do not just copy other people's answers.
You need to borrow $4000 to pay off your credit cards and you can afford monthly payments of $150. The bank provides three choices: a 2-year loan at 8% APR, a 3-year loan at 9% APR, or a 4-year loan at 10% APR. Which loan best meets your needs? E
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