a) Derive a formula for ni=1 t2l, where t2i denotes the 2ith triangular number for 1 <
Question:
b) Determine ∑100i=1 t21.
c) Write a computer program to check the result in part (b).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 77% (9 reviews)
a n i 1 t 2i n i 1 2i2i 12 n i 1 i 2 n i 1 i 2nn l2n ...View the full answer
Answered By
Morgan Njeri
Very Versatile especially in expressing Ideas in writings.
Passionate on my technical knowledge delivery.
Able to multitask and able to perform under pressure by handling multiple challenges that require time sensitive solution.
Writting articles and video editing.
Revise written materials to meet personal standards and satisfy clients demand.
Help Online Students with their course work.
4.90+
12+ Reviews
38+ 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
-
Derive a formula for a 95% confidence interval for 0 if n (xi, Yi)s are taken on a simple linear model where is known.
-
(a) Note how ni=1 i3 + (n + l)3 = ni=0 (i + 1)3 = ni=0 (i3 + 3i + 1). Use this result to obtain a formula for ni=1 i2. (Compare with the formula given in Example 4.4.) (b) Use the idea presented in...
-
A five-year follow-up study was carried out to assess the relationship of diet and weight to the incidence of stomach cancer in 40- to 50-year-old males in a certain metropolitan area. Let K- denote...
-
Find the derivative of the function. y = e x-4
-
Bryan is Professor Russells graduate assistant. He would like to leave for Spring Break tomorrow, but first he has to grade the midterm exams from four classes. These classes are new for Bryan, so he...
-
In order to study the conditions under which hash-brown potatoes will absorb the least amount of fat, an experiment is conducted with four frying durations (2, 3, 4, and 5 min) and using four...
-
Water flows in a 5-m-wide channel with a speed of \(2 \mathrm{~m} / \mathrm{s}\) and a depth of \(1 \mathrm{~m}\). The channel bottom slopes at a rate of \(1 \mathrm{~m}\) per \(1000 \mathrm{~m}\)....
-
The Southeastern Division of LaPlace Power and Light Company is responsible for providing dependable electric service to customers in and around the areas of Metairie, Kenner, Destreban, LaPlace,...
-
A force of F = 1 5 0 N is applied at 3 0 o West of North . what is the x component of the force ?
-
Create a star schema for this case study. How did you handle the time dimension? Fitchwood Insurance Company, which is primarily involved in the sale of annuity products, would like to design a data...
-
Determine 100i=51 t, where tt denotes the ith triangular number, for 51 < i < 100.
-
(a) Prove that (cos + i sin )2 = cos 2 + i sin 2, where i C and i2 = -1. (b) Using induction, prove that for all n Z+, (cos + i sin )n = cos n + i sin n. (This result is known as DeMoivre's...
-
What do the terms de facto and de jure mean in reference to the International Monetary Fund's use of the terms?
-
Find the mean and standard deviation of the number of successes in binomial distributions characterized as follows: (a) n = 20, p =.5 (b) n = 100, p = .09 (c) n = 30, p = .7 (d) n = 50, p = 4
-
A hospital has three doctors working on the night shift. These doctors can handle only three emergency cases in a time period of 30 min. On average, 1/2 an emergency case arises in each 30-min...
-
A baseball player usually has four at bats each game. Suppose the baseball player is a lifetime 0.25 hitter. Find the probability that this player will have: (a) Two hits out of four at bats (b) No...
-
The number of people arriving at a bank tellers window is Poisson distributed with a mean rate of .75 persons per minute. What is the probability that two or fewer people will arrive in the next 6...
-
A fair coin is tossed eight times. (a) Use MINITAB to construct a probability function table. (b) What is the probability that you will have exactly four heads?
-
On January 1, 2024, the Marjlee Company began construction of an office building to be used as its corporate headquarters. The building was completed early in 2025. Construction expenditures for...
-
Define a traverse in Surveying?
-
Insert three arithmetic means between -3 and 5.
-
Insert four arithmetic means between 4 and 13.
-
Find the common ratio. a. 2, 4, 8, 16,......... b. 18, -6, 2, - 2/3,....... c. -1, 1, -1, 1,........
-
If you weigh your portfolio in 80% risky and 20% risk-free t bills. The optimal risky portfolio consists of 40% in bonds and 60% in ETFs. How much will you have invested in t-bills, bonds, and etfs?
-
b. A 25-year mortgage loan of $184,000 at a 10 percent compound annual interest rate with equal installment payments at the end of each year.
-
What are Cloud-based Services? How does this differ to the common virtualization model?
Study smarter with the SolutionInn App