Divide the triangular array shown (called Pascals triangle) using diagonal lines as indicated. Find the sum of

Question:

Divide the triangular array shown (called Pascal’s triangle) using diagonal lines as indicated. Find the sum of the numbers in each diagonal row. Do you recognize this sequence?

4 10 10 6. 15 20 15 6

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

Step by Step Answer:

Related Book For book-img-for-question

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

See More Books

Question Posted: Apr 03, 2019 02:03 PM

Evaluate using Pascal's Triangle. 1. 2. 7, (2, 10 4
Pascals triangle gives a method for calculating the binomial coefficients; it begins as follows: The nth row of this triangle gives the coefficients for (a + b)n1. To find an entry in the table other...
Derive Pascal's formula from the fact that C (n, r) is the number of ways of selecting r objects from a set of n objects. Let x denote the nth object of the set. Count the number of ways that a...
1. Was 1MDB a fraudulent venture from the beginning? Why or why not? 2. How did the US Government become involved in the 1MDB saga? 3. What does the involvement of so many financial institutions in...
Identify the accounting assumption that best applies to each of the following situations. a. Wendy's, the restaurant chain, sold a store location to Burger King. How can Wendy's determine the sale...
Give an example of an output contract associated with school.
Should software piracy within the boundaries of third-world countries be tolerated to allow these countries an opportunity to move more quickly into the information age? Why or why not?
If Colleen Mooney invests $4,765.50 now and she will receive $12,000 at the end of 12 years, what annual rate of interest will Colleen earn on her investment?
Using the following criteria, specify the legal form of business that is favored: (a) orgaizational requirements and costs, (b) liability of the owners, (c) the continuity of the business, (d) the...
Surface defects have been counted on 25 rectangular steel plates, and the data are shown in Table 6E.9. Set up a control chart for nonconformities using these data. Does the process producing the...
Let, define the nth term of a sequence. (a) Show that u 1 = 1 and u 2 = 1. (b) show that u n + 2 = u n + 1 + u n . (c) Draw the conclusion that {u n } is a Fibonacci sequence. (1 + V5)" (1 V5)- 2"...
Use the result of Problem 86 to do the following problems: (a) Write the first 11 terms of the Fibonacci sequence. (b) Write the first 10 terms of the ratio u n + 1 / u n . (c) As n gets large, what...
The late Nobel Laureate Gary Becker once described how an economist should analyze the demand for butter: An economist would want to consider the price of butter and probably the level of income, the...
Claxton, Inc. paid a dividend of $ 0 . 9 5 per common share every December from 2 0 0 9 through 2 0 2 3 . The dividend is expected to continue at that level in 2 0 2 4 and 2 0 2 5 . In 2 0 2 6 and...
1. Who are two (2) specific examples of effective leaders (who you know personally) who have impacted your life? 2. What made them "effective" leaders? What many specific traits did these leaders...
pr Hwk12 Consider the differebtiable function F(x) whose instantaneous rates are given by the table of values below: I 3.00 3.50 4.00 4.50 5.00 5.50 6.00 6.50 7.00 F'(x) 21.00 27.50 35.00 43.50 53.00...
A stone was dropped off a cliff and hit the ground with a speed of 152 ft/s. What is the height of the cliff? (Use 32 ft/s for the acceleration due to gravity.) Step 1 We know that s(t) = 1 at + vot...
The 150 m long beam is submitted to a distributed load w(x) = (0.05 x 2) + 10 N/m. 50 50 w(x) 100 150 What is the moment about the point O in kN.m created by the distributed load? O-25.7 kN.m O-249...
How can organizations and individuals benefit from disruptive innovation? How can they not become victims of disruptive innovation?
(a) Explain why the concentration of dissolved oxygen in freshwater is an important indicator of the quality of the water. (b) How is the solubility of oxygen in water affected by increasing...
In Problems 1520 establish each identity. sine tane + cose = sece
In Problems 1520 establish each identity. csc 0 + cot 0 sec 0 + tan 0 sec 0 tan csc - cot
In Problems 1529, find the exact value, if any, of each composite function. If there is no value, say it is not defined. Do not use a calculator. cos-1 (cos 37)
Your firm is planning to invest in an automated packaging plant. Harburtin Industries is an all - equity firm that specializes in this business. Suppose Harburtin ' s equity beta is 0 . 8 7 , the...
Ned Allen opened a medical practice in Los Angeles, California, and had the following transactions during the month of January. (Click the icon to view the January transactions.) Journalize the...
do you need more information or are you working on this? Irene Watts and John Lyon are forming a partnership to which Watts will devote one- half time and Lyon will devote full time. They have...

Divide the triangular array shown (called Pascals triangle) using diagonal lines as indicated. Find the sum of

Question:

4 10 10 6. 15 20 15 6

Step by Step Answer:

1 1 2 3 5 ...View the full answer

Precalculus

Students also viewed these Mathematics questions