a Write down, in ascending powers of x, the first 4 terms in the expansion of (1 2x) 6 b Find the coefficient of x 3 in the expansions of (1 x 3) (1 2x) 6 ...

a To find the first 4 terms in the expansion of 1 2x6 we can use the binomial theorem which states t ...

a. Write down, in ascending powers of x, the first 4 terms in the expansion of (1

Question:

a. Write down, in ascending powers of x, the first 4 terms in the expansion of (1 + 2x)⁶.

b. Find the coefficient of x³ in the expansions of (1 – x/3) (1 + 2x)⁶.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Aug 31, 2021 01:08 AM

See More Questions

a. Find, in ascending powers of x, the first 4 terms in the expansion of (1 + x) 7 . b. Hence find the coefficient of y 3 in the expansions of (1 + y y 2 ) 7 .
Find the coefficient of x 3 in the expansions of a. (x + 4) 4 b. (1 + x) 5 c. (3 x) 4 d. (3 + 2x) 3 e. (x 2) 5 f. (2x + 5) 4 g. (4x 3) 3 h. (3 x) 4
The first 4 terms of a sequence are a. Write down the 6th term of this sequence. b. Find the sum of the first 5 terms of this sequence. c. Write down an expression for the nth term of this sequence....
Write a program that takes three double command-line arguments x, y, and z, reads from standard input a sequence of point coordinates (xi, yi, zi), and prints the coordinates of the point closest to...
Arrange the members of each of the following pairs in order of increasing radius and explain the order: a. Sr, Sr2+ b. Br, Br
The exercise price on one of ORNE Corporation's call options is $35 and the price of the underlying stock is $34. The option will expire in 55 days. The option is currently selling for $0.25. (a)...
What reasons might an entity provide for adopting ESG practices?
Weber Company purchases $45,000 of raw materials on account, and it incurs $60,000 of factory labor costs. Journalize the two transactions on March 31 assuming the labor costs are not paid until...
24. A water jet whose cross section area is a striker wall making an angle e with the normal and rebounds elastically. The velocity of water of density d is v. Force exerted on wall is :- 0 (1) 2avd...
Change Purse Inc. is a small business that is planned to be located in a small Nova Scotia town. The town was incorporated in 1889 and, like many communities in Nova Scotia, it prides itself on being...
In an arithmetic progression, the first term is 13, the 20 th term is 82 and the last term is 112. a. Find the common difference and the number of terms. b. Find the sum of the terms in this...
Expand (1 + 2x) (1 + 3x) 4 .
Assume the same information as in P21-4. Instructions (Round all numbers to the nearest cent.) (a) Assuming the lessors accounting period ends on September 30, answer the following questions with...
What are the implications of global change phenomena, such as ocean acidification, eutrophication, and biodiversity loss, for marine food webs and trophic interactions, including the cascading...
Quincy Corporation is trying to determine what type of cost they are observing. As sales increased the total amount this cost increased also. It looks as if it stays fixed in percentage terms at 20%...
A sample of graphite (C,-0.720) with a mass of 10.9 g is initially at a temperature of 52.3C. The sample is cooled by removing 39.6 J of energy. Calculate the final temperature (in C) of this sample....
Consider the following robot: A (5 Marks) (a) How many links and joints does it have? Explain. (b) Which coordinate type does it have? Explain. (c) What is it DOF? Explain. (d) Name and draw its...
How do stem cells and progenitor cells coordinate their cell cycle dynamics with self-renewal and differentiation programs, and what are the molecular mechanisms underlying the balance between...
In divisional income statements prepared for LeFevre Company, the Payroll Department costs are charged back to user divisions on the basis of the number of payroll distributions, and the Purchasing...
Identify Thank You mission, strategy and core competencies. Identify strategy changes that have taken place at Thank You since its founding in 2008. Your answer must in text references and must be...
Summarize why managers want to use team structures .
Contrast mechanistic and organic structural models.
List the factors that favor different organizational structures.
Ryan is developing a physical access plan for his organization's data center and wants to implement the security control indicated by the arrow in this diagram. What is the name of this control?
Haas Company manufactures and sells one product. The following information pertains to each of the company's first three years of operations: Variable costs per unit: Manufacturing: Direct materials...
What are two primary advantages that 5G networks have over 4G networks?

a. Write down, in ascending powers of x, the first 4 terms in the expansion of (1

Question:

Step by Step Answer:

a To find the first 4 terms in the expansion of 1 2x6 we can use the binomial theorem which states t...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions