Question: Let Bn = 1 1! + 2 2! + 3 3! + ... + n n! Find a formula for Bn

Let Bn = 1 ∙ 1! + 2 ∙ 2! + 3 ∙ 3! + ... + n ∙ n!
Find a formula for Bn and prove it.

Step by Step Solution

★★★★★

3.37 Rating (181 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Look at the first few values B 1 1 B 2 5 B 3 23 B 4 119 If these are ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

950-M-L-A-L-S (6748).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Q:

For each of the following functions, find a formula for Ïf(t). a) b) c) 1 f(x) = 1 0 0 f(x) = sin(1/x) f(x)=| x0 x=0

Q:

Find the value of the determinant of the n x n matrix and with main diagonal entries all 0 and all others 1. Try to find a formula for this. Try to prove it by induction. Interpret A3 and A4 as...

Q:

(a) If is a positive integer, prove that d/dx (sinn x cos nx) = n sinn-1 x cos(n + 1)x (b) Find a formula for the derivative of y = cosn x cos nx that is similar to the one in part (a).

Q:

1) Determine if the following subsets are open in R 2 (with usual metric), closed in R 2 , or neither. (a) {(x, y) : |x| + |y|

Q:

11/26/2016 Fall 2016 Homework 12Due Thursday 12/1, before 8 PM. Must submit before 8PM. My sites / 16F-STATS100A-1 / HOMEWORK / Fall 2016- Homework 12-Due Thursday 12/1, before 8 PM. Must submit...

Q:

Let A = {a, c, e, h, k}, B = {a, b, d, e h, i, k, I}, and C = {a, c, e, i, m}. Find each of the following sets. (a) A intersection B (b) A intersection B intersection C (c) A union C (d) A union B...

Q:

ion, subtraction, multiplication, and division are necessary in managing personal finances, cooking, and shopping. Understanding mathematical concepts such as percentages, fractions, and ratios is...

Q:

Definition: Let R be a relation on the set A. The powers R n n = 1, 2, 3, ... are defined recursively by R1 = R and R n + 1 = R n compositefunction R. The definition shows that R2 = R...

Q:

Prove by induction that WEIRDSORT correctly sorts any input array (of size a power of two). ( Hint : Formulate a claim for what STRAIGHTEN is supposed to accomplish, and prove it.) Assume that n is a...

Q:

plz solve them 3. A continuously stirred tank reactor (CSTR) has the inlet and outlet flowrate of qi and q in ( m3/s ), respectively. Reactant A is introduced to the CSTR at a concentration CA0 (mol/...

Q:

A 20-year annuity X has annual payments of $10,000 at the beginning of each year for 10 years, then annual payments of $20,000 at the beginning of each year for the next 10 years. A perpetuity Y has...

Q:

Irwin, Inc. constructed a machine at a total cost of $35 million. Construction was completed at the end of 2007 and the machine was placed in service at the beginning of 2008. The machine was being...

Q:

CA1.2 (LO 1) (IFRS and Standard-Setting) Presented below are four statements to identify as true or false. If false, explain why the statement is incorrect. 1. The objective of financial statements...

Q:

Use the data in QLEISCOIN.XLS and statistical software to do the following problems. COINPercentage change in the composite index of coincident economic indicators. LEISPercentage change in the...

Q:

Use substitution to determine whether the given ordered pairs are solutions of the given equation. (a) (-1, -9), (0, 2); y = 7x - 2 (b) (1/2, 8), (-1, 6); y = -4x + 10 (c) (2/3, 3/4), (1, 3/2) (6x -...

Q:

Graph the rectangle described in Exercise 82. Then determine the coordinates of the midpoint of each of the four sides. Are the midpoints vertices of a rectangle?

Q:

Graph the square with vertices 1-5, -12, 17, -62, 112, 62, and 10, 112. Then determine the midpoint of each of the four sides. Are the midpoints vertices of a square?

Q:

If an investor in a common stock expects a return of 6% a year on his investment, he is expecting the yield plus the price appreciation to equal 6% a year. True False You won the lotteryl , You are...

Q:

What is the probability that a number passwordless than 10,000 created from the digits 0,1,2,3,4,5,6,7,8,9, using each digit at most once, contains 6 or 8 or both? (using the slot method with cases)...

Q:

Need help in this homework please Homework: Week 10 SCOPE: 0 0f 1 pt 4 10 of 14 (9 complete) V ) HW Score: 61.9%, 8.67 of 14 pts 16.3.33 Question Help V g Consider the sample space S = {01, 02, 03,...