Prove, by mathematical induction, that 3 2n - 1 is divisible by 8 for all n
Question:
Prove, by mathematical induction, that 32n - 1 is divisible by 8 for all n ≥ 1.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 72% (11 reviews)
Let Qn 3 2n 1 which is divisible by 8 for all n 1 Step 1 lets prove whether Q1 is ...View the full answer
Answered By
Peter Nyambura
I graduated with a Bachelor of Education(Science) majoring in Mathematics and Chemistry Moreover I have diplomas in Nuclear Engineering, Biochemistry, and Physiology. I conduct myself professionally; maintains high standards of ethics working with students.
Additionally, I highly articulate; the ability to cascade instructions and information to students clearly and effectively.
More, I Encouraging personality; builds rapport with students in order to encourage participation in the feedback system.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
Question Posted:
Students also viewed these Sciences questions
-
Prove by mathematical induction that, for all values n 1, 7 n + 2 3n - 1 is divisible by 7.
-
Prove by mathematical induction that, for all non-negative integers n, 11 2n + 25 n + 22 is divisible by 24.
-
Prove by mathematical induction that Hence, determine an expression for 1). %3D 3 r=1
-
1. Insurance Act, RSBC 1996 c226 Read Parts 1 and 2 of this statute and describe any changes to the standard commonlaw rules for contracts that you notice. 2. KP Pacific Holdings Ltd. and Churchland...
-
Pyramid Lake, Nevada, is described as the pride of the Paiute Indian Nation. It is a beautiful desert lake famous for very large trout. The elevation of the lake surface (feet above sea level) varies...
-
Suppose inflation currently is about 2 percent. Last year, the Fed took action to maintain inflation at this level. Now, the economy is starting to grow too quickly, and reports indicate that...
-
What is the basic difference between the purposes of financial and managerial accounting?
-
Sue and George Shaker lived in Halifax, Nova Scotia, while George completed his combined law and MBA degree at Dalhousie University. The Shakers purchased a home in Halifax when they first moved to...
-
When three or more ratios are equal, you can write a(an) OA proportion OB cross product ratio OD extended proportion
-
1. Considering both economic and ethical aspects, is it appropriate for companies like Novo Nordisk to conduct clinical trials in, for example, India? What exactly are the principles that should...
-
The sequence a 1 , a 2 , a 3 , ... is such that a 1 > 5 and a n+1 = 4a n /5 + 5/a n for every positive integer n. Prove by mathematical induction that a n > 5 for every positive integer n. Prove also...
-
Given that u n+1 = 2u n + 1 and that u 1 = 1, show, by mathematical induction, that u n = 2 n 1 for all n 1.
-
Let A 1 * be any unary language. Show that if A is NP-complete, then P = NP. Consider a polynomial time reduction f from SAT to A. For a formula , let 0100 be the reduced formula where variables x...
-
If investors' aversion to risk increased, would the risk premium on a high-beta stock increase by more or less than that on a low-beta stock? Explain. If investors' aversion to risk increases, the...
-
Syarikat Pan Dai Berhad has a beta of 0.90, while Syarikat Ra Jin Berhad has a beta of 1.8. The risk-free rate is 6% and the market expected rate of return is 14%. From the information given, you are...
-
How does net cash flow differ from net income and why is that difference relevant to financial decision making? 2. With regard to tax purposes, which type of depreciation methods do organizations...
-
Your supervisor is planning a trip to China to discuss a joint venture to get your company's product into the Chinese market. Provide your supervisor with information about cultural differences to be...
-
12. An electric train travels at a constant speed on a circular track with a radius of 0.7 m. It takes the train 5.0 s to change its heading from east to south. Calculate the train's: a) b) c) d)...
-
Suppose that the following table gives data on the price of rye and the number of bushels of rye sold in 2015 and 2016: Year ___________ Price (dollars per bushel) __________ Quantity (bushels) 2015...
-
XYZ Inc. a calendar year, accrual basis corporation, had the following items during 2021: Gross revenue from operations Cost of goods sold $420,000 ($180,000) $9,000 LT capital gain .LT capital...
-
A compound with molecular formula C 5 H 10 O 2 has the following NMR spectrum. Determine the number of protons giving rise to each signal. Proton NMR lle 2.0 1.5 0.5 ppm 4.5 4.0 33.2 3.5 3.0 2.5 1.0...
-
A compound with molecular formula C 10 H 10 O has the following NMR spectrum. Determine the number of protons giving rise to each signal. Proton NMR 10 3 1 ppm 4 87.1| 18.7 Integration Values 17.1...
-
A compound with molecular formula C 4 H 6 O 2 has the following NMR spectrum. Determine the number of protons giving rise to each signal. Proton NMR 25 2.0 2.0 1.5 ppm 3.0 Integration Values 5.0 4.5...
-
Human Resources Human Resources General Factory Fabricating Assembly 0 0.0698 0.3243 V 0.2432 V 0.4324 0.2791 0.6512 V General Factory 2. Develop a simultaneous equations system of total costs for...
-
Balloons By Sunset (BBS) is considering the purchase of two new hot air balloons so that it can expand its desert sunset tours. Various information about the proposed investment follows: (Future...
-
On June 1, Roadway's Trucking Company paid $8,700 to overhaul the engine on a delivery truck to allow it to be used for two additional years. An additional $300 was paid for oil change and tre...
Study smarter with the SolutionInn App