The coefficient of x 2 in the expansion of (1 + x/5) n , where n is
Question:
The coefficient of x2 in the expansion of (1 + x/5)n, where n is a positive integers is 3/5.
a. Find the value of n.
b. Using this value of n, find the term independent of x in the expansion of
(1 + x/5)n (2 – 3/x)2.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 69% (13 reviews)
a The coefficient of x2 in the expansion of 1 x5n is 35 To find the value of n we can use the ...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
Find the radius of convergence of? Where p is a positive integer? (p
-
Find the coefficient of x 2 in the expansion of (2x + 1) 7 .
-
Use recursion to compute an, where n is a positive integer. Hint: If n is 1, then a n = a. If n is even, then an = (a n/2 ) 2 . Otherwise, a n = a a n1 .
-
Like Death Valley, the Dead Sea is a place where you can walk on dry land below sea level, and an apparently unmotivated hole in the ground along a strike-slip fault. How do you think it formed?
-
Explain what energy terms are involved in the formation of an ionic solid from atoms. In what way should these terms change (become larger or smaller) to give the lowest energy possible for the solid?
-
Name two advantages of push-pull rods over control cables.
-
Baycom Corporation's comparative income statement is provided in the Working Papers. Your instructor will guide you through the following examples. 1. Complete the partial income statement using...
-
According to an article in The New Yorker (March 12, 2007), the Department of Homeland Security in the United States is experimenting with installing devices for detecting radiation at bridges,...
-
Match the following terms with their definitions. 1. Result of Tax Reform Act of 1986 2. Depreciation that has been built up 3. Cost minus accumulated depreciation 4. Residual value not deducted in...
-
Develop a deployment diagram for the following description of a Face book application. The Face book platform is available for entrepreneurs to develop applications for use among all Face book users....
-
Find the term in x 3 for each of the following expansions. a. (2 + x) 5 b. (5 + x) 8 c. (1 + 2x) 6 d. (3 + 2x) 5 e. (1 x) 6 f. (2 x) 9 g. (10 3x) 7 h. (4 5x) 15 .
-
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
-
Two students are preparing for their micro exam, but they seem confused: Student A: "We learned that demand curves always slope downward. In the case of a competitive firm, this downward-sloping...
-
Factor completely. (2 3) +5(2 3)-6= |
-
Three masses are hung over two pulleys, as shown in Fig. 5.58. The pulleys are massless and frictionless. As- sume that my > (m + m3) and m > m3. (a) Show that the tension in the rope supporting the...
-
Three SAE class 9.8 steel bolts of size M18x2 are used to attach a bracket to a rigid column as shown below. Bracket supports a vertical load of 24 kN applied eccentrically as shown in the two...
-
10. Examine the system shown below. Mass 2 sits on mass1 and is free to move on top of mass 1 except there is linear viscous damping with a coefficient of b. Mass 1 is additional mounted to the wall...
-
3. Using Excel (or Google sheets), calculate the average and standard deviation of the Virtual Lab and the Real-Life Lab data. You should report your calculated values as "Avg StDev" (don't forget...
-
John and Sandy Ferguson got married eight years ago and have a seven-year old daughter Samantha. In 2016, John worked as a computer technician at a local university earning a salary of $52,000, and...
-
Describe the general ways that the revised Form 990, applicable for tax year 2008 and beyond, is different from previous versions.
-
Should all companies implement internal enterprise social networks? Why or why not?
-
How do flat organizations differ from traditional bureaucratic hierarchies?
-
How has information technology made it possible to eliminate middle manager positions?
-
What does it mean to be fully vested in a pension or 4 0 1 k retirement plan?
-
Which items should be considered as cost of goods sold, initial expenditure, EBITDA, depreciation, EBIT, interest, fixed assets, and total current assets for daycares?
-
R&R construction Limited supplies for April 2024 was: Construction Services $500,000 ( exempt VAT activity) Electrical Services $2,000,000 Surveying Services $300,000 Export Services $700,000 The VAT...
Study smarter with the SolutionInn App