PLEASE EXPLAIN THE DIAGRAM AND EQUATIONS Iterations1112I 3aIn I1, а одиалеOctagon. Ifwe consider I11 diagram then12 has (1 + 4) diagramsI3 has (1+4+4²2) diagrams14 has (1+4+4² +43) diagramsIS has (1+4+4² +4² +4²") diagrams413So, In has (1+4+4² +4² +4 4 - - + m²).diagrams.In has 4-1n— (4²_1) diagrams=32-1BIt x+x² + x³ +--+x1(x²-1)x-1Sum of G.P.O14I5is inside theas

Let a, ar, ar2, ar3, ⋯, arn-1 be a finite geometric progression. The sum of the geometric series is…

Answered: Iterations 08800 I1 12 I 3 14 15 is…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 54E

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A and B each have certain number of oranges. A says to B if you give me 10 of your oranges i will have the twice the number of oranges left with you. B replies if you give me 10 oranges i will have the same number of oranges as left with you find the number of oranges with A and B seperately
Double Tower of Hanoi contains 2n disks of n different sizes, with two disks of each size. You must move all 2n disks from one of three locations to another, but you may move only one disk at a time, without putting a larger disk over a smaller one. Let T(n) be the number of moves necessary to move such a tower of 2n disks. Prove that T(n)=2n+1 −2foralln≥1.
U.S. Energy Consumption Energy consumptionin the United States in quadrillion BTUs can bemodeled by C(x) = -0.013x2 + 1.281x + 67.147,where x is the number of years after 1970.a. One solution to the equation 87.567 = -0.013x2 +1.281x + 67.147 is x = 20. What does thismean?b. Graphically verify that x = 20 is a solution to87.567 = -0.013x2 + 1.281x + 67.147.c. To find when after 2020 U.S. energy consumptionwill be 87.567 quadrillion BTUs according to themodel, do we need to find the second solution tothis equation? Why or why not?
A) Find at least 12 fractions n /403 that have exactly 6 digits in their repetends . In their smallest form , list all repetends that have different cyclic orders . B) Find at least 30 fractions n/ 403 that have exactly 15 digits in their repetends . In their smallest form, list all repetends that have different cyclic orders . C) Find the repetend for 1/403 and explain how to use it to produce 30 fractions of the form n / 403 that have exactly 30 digits in their repetends . D) Show that all fractions of the form n/ 403 , other than those found in parts A) and B), have exactly 30 digits in their repetends .
1. Consider the recursion ut = 3ut−1 − b. (a) Find the value of b such that the equilibrium solution of this recursion is uˆ = 500. (b) Using the value of b you found in question (a), make a change of variables and show how this change transforms the affine geometric recursion ut = 3ut−1 − b to a geometric recursion of the form vt = λvt−1.
Gonzalez Manufacturing borrowed $39000. Part of the money was borrowed at 8%, part at 10%, and part at 12%. The annual interest was $3960, and the total amount borrowed at 8% and 10% was twice the amount borrowed at 12%. Use Gaussian elimination or Gauss-Jordan elimination to find the amount borrowed at each rate.
A university has a long table by a window for students to work individually. There are 20 seats at the table, but due to Covid restrictions students may not sit in consecutive seats. Determine for all 1 ≤ k ≤ 11 the number of ways for k students to sit at this table.
2. Let, a1= 3 and for n ≥ 2, an = 2an-1 + 1, express an in terms of n. for n ≥ 3, an = 2an-1+ bn-1 for n ≥ 2 bn = bn-1 + an-1 express an in terms of n.
A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second day, he finished 1/n of the job left. On the third day, he finished 1/m of the job left, and on the fourth day, 1/n of the job left. On the last day, he finished 1/4 of the remaining job. find m and n.
To find the P(Z ≤ -1.65) find the row containing ----- in the far left column. Then find the column containing ------- in the top row. The intersection of this row and column is --------- (Round to 4 decimals).
The degrees of freedom for an independent samples t-test is calculated by: Group of answer choices taking the sample size of one group and subtracting one. taking the sample size of one group and subtracting the sample size of the second group. adding the size of the two samples and subtracting two. using a complex formula that integrates the sample sizes and sample variances.
Double Tower of Hanoi: In this variation of the Tower of Hanoi there arethree poles in a row and 2n disks, two of each of n different sizes, where n is any positive integer. Initially one of the poles contains all the disks placed on top of each other in pairs of decreasing size. Disks are transferred one by one from one pole to another, but at no time may a larger disk be placed on top of a smaller disk. However, a disk may be placed on top of one of the same size. Let tn be the minimum number of moves needed to transfer a tower of 2n disks from one pole to another. (a) Find t1, t2, and t3.(b) Find a recurrence relation for t1, t2, t3, . . . .

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