Prove that ( 1 (3 1 2 i) 2) n ( 1 (3 1 2 i) 2) n has the value of 1 if n 3k plus minus 1 and value 2 if n 3k where k is an integer Prove that ( 1 (3 1 2 i) 2) n ( 1 (3 1 2 i) 2) n has the value of 1 if n 3k plus minus 1 and value 2 if n 3k where k is an integer ...

Prove that (-1 +(3^1/2 i) / 2)^ n + (-1 - (3^1/2 i) / 2)^ n...

Fantastic news! We've Found the answer you've been seeking!

Question:

Related Book For answer-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Posted Date: Feb 10, 2023 12:08 AM

See More Questions

What is the value of K if the concentrations at equilibrium are shown for the reaction below? [D] = 4.4 x 10 -5 M [C] = 2.2 x 10 -2 M [B] = 9.4 x 10 -3 [A] = 1.2 x 10 -2 D(ag) + 2C(ag) = 2B(aq) +...
Prove that if n and k are integers with 1 ¤ k ¤ n, then a) Using a combinatorial proof. b) Using an algebraic proof based on the formula for (nr) given in Theorem 2 in Section 6.3. k...
Prove that 2n > n2 if n is an integer greater than 4.
Explain in detail the role of data analytics in healthcare.
What are the worldss leading economic blocs? Which blocs are most advanced in terms of regional integration?
Refer to the situation described in BE119. Determine the financing cash flows to be reported by IT Industries in 2021. BE11-9 On April 1, 2020, Teleworks Company lent $100,000 to IT Industries. IT...
When might the information from numeric information systems such as HR metrics and workforce analytics not generate any return on investment?
Crable and Tesch, partners in a systems consulting firm, budgeted the following professional labor hours for the year ended December 31, 2016: Partners . . . . . . . . . . . . . . . . . . . . . . . ....
float f; int i; scanf("%f %i", &f, &i); What will be the values stored in f and i after scanf statement if following values are entered 12.5 1 12 45 12 23.2 12.1 10 12 1 Write a program to verify...
Garvey Company sells machine parts to industrial equipment manufacturers for an average price of $0.75 per part. There are two types of customers: those who place small, frequent orders and those who...
Describe the buying behaviors of buyers in a fast food industry and their bargaining power
How can regression analysis be used as an audit test?
Should managers estimate intrinsic values or leave that to outside security analysts? Explain.
Distinguish buy-side and sell-side systems.
The author made the claim that the "principle of common but differentiated responsibilities" might have contributed to the failure of the Kyoto Protocol. Do you agree with this claim? If you agree,...
Do stocks have known and provable intrinsic values, or might different people reach different conclusions about intrinsic values? Explain.
The substance has a mass of 30 grams and displaces 15 mL of water in a graduated cylinder. Calculate the relative density (specific gravity) of the substance.
Write a paper about how diet relates to breast cancer in women study design to use: case control study purpose & rationale the purpose of this final project is to utilize the methods and...
Given that (to four decimal places) In 2 = 0.6931, In 3 = 1.0986, and In 5 = 1.6094, approximate each of the following. (a) log2 3 (b) log5 2 (c) log3 5
How many different paths in the xy-plane are there from (0, 0) to (7, 7) if a path proceeds one step at a time by going either one space to the right (R) or one space upward (U)? How many such paths...
(a) LetG = (V, E) be a loop-free weighted connected undirected graph where each edge e of G is part of a cycle. Prove that if e1 E with wt(e1) > wt(e) for all other edges e e E, then no spanning...
The $x$ component of the velocity of a car changes from $-10 \mathrm{~m} / \mathrm{s}$ to $-2.0 \mathrm{~m} / \mathrm{s}$ in $10 \mathrm{~s}$. (a) Is the car traveling in the positive or...
The day after the incident described in Problem 44, the instructor finds herself in the same situation. This time, she tries a harder physics exercise. She keeps running at a constant \(6.0...
(a) A car is speeding up in the negative $x$ direction. In what direction do $\vec{a}$ and $\vec{v}$ point? (b) To which of the four graphs in Figures 3 . 2 and 3 . 3 does the situation...

Prove that (-1 +(3^1/2 i) / 2)^ n + (-1 - (3^1/2 i) / 2)^ n...

Question:

Prove that (-1 +(3^1/2 i) / 2)^ n + (-1 - (3^1/2 i) / 2)^ n has the value of -1 if n = 3k plus minus 1 and value 2 if n = 3k where k is an integer. Prove that (-1 +(3^1/2 i) / 2)^ n + (-1 - (3^1/2 i) / 2)^ n has the value of -1 if n = 3k plus minus 1 and value 2 if n = 3k where k is an integer.

Expert Answer:

The detailed ... View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these mathematics questions