Define the integer sequence a0, < a1 > a2, a3, . . ., recursively by 1) a0
Question:
1) a0 = 1 a1 = 1, a2 = 1; and
2) For n > 3, an = an-1 + an-3.
Prove that an+2 > (√2)n for all n > 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (8 reviews)
Proof By the Alternative Form of the Principle of Mathematical Induc...View the full answer
Answered By
Sumit kumar
Education details:
QUATERNARY Pursuing M.Tech.(2017-2019) in Electronics and Communication Engg. (VLSI DESIGN) from
GNIOT Greater Noida
TERTIARY B.Tech. (2012-2016) in Electronics and Communication Engg. from GLBITM Greater Noida
SECONDARY Senior Secondary School Examination (Class XII) in 2012 from R.S.S.Inter College, Noida
ELEMENTARY Secondary School Examination (Class X) in 2010 from New R.J.C. Public School ,Noida
CERTIFICATION
Summer Training in ‘WIRELESS EMBEDDED SYSTEM’ from ‘XIONEE’ for the six weeks.
EMBEDDED SYSTEM Certificate issued by CETPA INFOTECH for one day workshop.
Certificate of Faculty development program on OPTICAL COMMUNICATION and NETWORKS for one week.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Question Posted:
Students also viewed these Linear Algebra questions
-
The integer sequence a1, a2, a3, . . ., defined explicitly by the formula an = 5n for n e Z+, can also be defined recursively by 1) a1 = 5; and 2) an+1, an + 5, for n > 1. For the integer sequence...
-
Let a1, a2, a3,..... be the integer sequence defined recursively by (1) a1 = 1; and (2) For all n Z+ where n > 2, an = 2a [n/2] (a) Determine an for all 2 < n < 8. (b) Prove that an < n for all n ...
-
Let a1, a2, a3, . .. be the integer sequence defined recursively by (1) a1{ = 0; and (2) For n > 1, an = 1 + a[n/2]. Prove that an = [log2n] for all n Z+.
-
Find the eccentricity of the hyperbola. Then find and graph the hyperbolas foci and directrices. x 2 - y 2 = 1
-
How does MRP differ from ERP? Find a description of an MRP module from a software vendor.
-
Modify the Stream example that it uses stream capabilities to display the average Employee salary by department.
-
What are the sources that you might use to evaluate stock investments?
-
Seth Feye established Reliance Financial Services on July 1, 2014. Reliance Financial Services offers financial planning advice to its clients. The effect of each transaction and the balances after...
-
Please kindly explain how to get an answer, thank you in advance! . Required: 1.1. What are the budgeted sales for July? 1.2. What are the expected cash collections for July? 1.3. What is the acco...
-
One study on managers satisfaction with management tools reveals that 59% of all managers use self-directed work teams as a management tool. Suppose 70 managers selected randomly in the United States...
-
For all x R, -|x| Prove that if n Z+, n > 2, and x1, x2, . . . , R, then |x1 + x2 + + xn| -x, if xs0
-
For n > 0 let Fn denote the nth Fibonacci number. Prove that Fo + Fi + F2 +. + F, =F = Fa42 - 1. 1=0
-
Many business organizations have been concerned with providing for employee retirement since the late 1800s. During recent decades, a marked increase in this concern has resulted in the establishment...
-
Which is not a characteristic of management accounting information? a. Emphasizes the external financial starements b. Focuses on the furure c. Provides detailed information about individual parts of...
-
What internal control objectives are met by physical, mechanical, and electronic controls?
-
An independent internal review could improve the ability of management and the board to: a. Report publicly on the system of internal accounting control. b. Expand the internal audit function. c....
-
Which is a direct cost of manufacturing a sportboat? a. Cost of boat engine b. Depreciation on plant and equipment c. Salary of engineer who rearranges plant layout d. Cost of customer hotline
-
In computing cost of goods sold, which of the following is the manufacturer's counterpart to the merchandiser's purchases? a. Direct materials used b. Cost of goods manufactured c. Total...
-
Find each function value without using a calculator. 7T cos 3
-
The cost curve for the city water supply is C(Q) = 16 + 1/4 Q2, where Q is the amount of water supplied and C(Q) is the cost of providing Q acre-feet of water. (An acre-foot is the amount of water...
-
Suppose the government is making a $24,000,000,000 expenditure for travel to Mars. If 73% of this amount is spent again, and so on, what is the total effect on the economy? [8.3]
-
Use mathematical induction to prove each of the following. 1. For every natural number n, 2. For every natural number n, 3. For every natural number n à 2, n(3n 1) 1+3+32 + + 3n-1 (1-1)(1-9 2...
-
How many code symbols can be formed using 5 out of 6 of the letters of G, H, I, J, K, L if the letters: a) Cannot be repeated? [8.5] b) Can be repeated? [8.5] c) Cannot be repeated but must begin...
-
Question 3 Question 3 For the sequence of figures, what is the next figure in the sequence 0 0 fig 1 fig 2 fig 3 fig 4 fig 5 fig 6 O 0 Mo 0 Mo 5 pt
-
50 6 CO 70 80 90 100 11 120 130 140 150 16 17 18 19 20 20 QUESTION 17 Given f(x)= =e * and g(x) = 2ex-2, how does the graph of g compare to the graph of f? OA.g is shifted 2 units left and expanded...
-
1. DETAILS OSPRECALC1 1.5.307-316C.WA.TUT. Describe how the graph of y = x is transformed by the equation y = (x + 5). O shifted 5 units to the right shifted 5 units to the left shifted 5 units...
Study smarter with the SolutionInn App