Find the specified nth term in the expansion of the binomial. (x – 10z)7, n = 4

Q: The coefficients of three consecutive terms in the expansion of (1 + ay" are in the ratiol: 7:42.…

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Q: In the expansion of (2 + 4y?) a. How many terms are in the expansion after like terms have been…

A: We will find the answers of all parts using binomial expansion.

Q: i find the binomial expansion up to and including the x' term i state the range of values of x for…

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Q: EX1 FIND THE 4th TERM BINOMIAL EXPANSION (3x+2y) ³ IN THE OF 3

A: The given expression,      3x+2y5

Q: a) Write down the first term in the expansion of (x + 4)°. b) Write down the remaining terms in the…

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Q: Find the coefficient of th 'u in (r + y 5

A: *to find:- coefficient of x^2*y^3.

Q: a) Find the term containing b^3 in the expansion of (b−2)^6 b) Find the 6th term in the expansion…

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Q: 10 Use the Binomial Theorem to find the eighth term in the expansion of (x- 3) The eighth term is…

A: Binomial expression problem.....

Q: 2). Determine the binomial for expansion with the given situation below: c). The numerical…

A: Given: The numerical coefficient of the 2nd term in the expansion is 3840.

Q: 2 - Determine the binomial for expansion with the given situation below: a. The literal coefficient…

A: Determine the binomial for expansion with the given situation below: a) The literal coefficient of…

Q: Use the binomial formula to find the coefficient of the y^3 m^17 term in the expansion of (3y- m)^20

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Q: (QuestionID:T1Q2.4) What is the coefficient of 2° in the binomial expansion of (2² – 1)5 ? Choose…

A: What is the coefficient of x3 in the binomial expansion of (x2-1)5

Q: Using binomial expansion, write down the first three terms of the expression below, starting with…

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Q: 30. One term in the expansion of (x+a) is 448x6. The value of a, if a >0, is

A: Please refer to the image below.

Q: Find the specified nth term in the expansion of the binomial. (x + 2z)7,    n = 6

A: Write the binomial expansion of the given polynomial than specified the nth term.

Q: Find the middle term in the binomial expansion of (x–1). Select one: a. 20x O b. 15x* none of these…

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Q: Answer the following: a) What would be the 6th term of the expansion of (M-3)^5? b) Use the binomial…

A: x+yn=C0nxny0+C1nxn-1y1+C2nxn-2y2+...+Cnnxn-nyn

Q: 3. Consider the expansion of (x + 2)°. a. Write the full expansion using the binomial theorem. b.…

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Q: Substitute x = u?/5 °, y = 3, andn = 5 into the formula for (x + y)". ) + sC2 (u?7s)° (3}² + sC3…

A: For Crn=n!(n-r)!·r! here n!=1×2×3××...×(n-1)×n

Q: Find the specified nth term in the expansion of the binomial. (x + y)11,    n = 4

A: For an expression of the form x+yr, the binomial expansion is given by- Tk+1=Ckrxr-kyk where n=k+1

Q: Find the indicated terms in the expansion of the given binomial. The last two terms in the expansion…

A: Here given binomial,

Q: Q. 4. Convert the number(4215.245), to octal. Q. 5. Show that "-'C. r-1 11 2 Q. 6. Find the…

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Q: ) Find the coefficient of xy in the expansion of (x + y²)°. ) Find the coefficient of x5y® in the…

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Q: Find the first four non-zero terms of the binomial series for (1+5) select the correct choice. O1- x…

A: In this question we have to find the expansion of the binomial series which we can find out by using…

Q: Q.No.2 State and prove Binomial theorem and also find 18th term in the expansion of (2x - 3y)3.

A: Given: To be prove binomial theorem and find the 18th term in the expansion of 2x2-3y25

Q: 1. Find (a +b) using the binomial theorem. 3 (a + b)' = E (3 k ) a²-kbk k=0 Show your work here:

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Q: Using binomial expansion, write down the first three terms of the expression below, starting with…

A: binomial expansion, write down the first three terms of the expression below, starting with the…

Q: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

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Q: Give a formula for the coefficient of xk in the expansion of (10x + 20/x)100, where k is zero i.e.…

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Q: 3 10 Use the binomial formnula to find the coefficient of the g m term in the expansion of (3q-m)".

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Q: ,5n-3 Find the sum of the series: n! 0-

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Q: Find the required term in the binomial expansion. (2a − b)8; 7th term

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Q: P1. In the binomial expansion of (2-3) written in terms of descending power of X, find; a the th…

A: Explained below

Q: 2a) Expand (h + t)°using the Binomial Theorem. b) Explain how this expansion can be used to…

A: we know that pascal triangle                                          1                        power…

Q: -1)º-k(x)' 18-6k 2512 k=0

A: to calculate the terms first we need to understand the calculation of 0! = 1 1! = 1

Q: Suppose you are expanding (5x - 2y)º. a) i) How many terms are there in the expansion? ii) State the…

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Q: Use the binomial formula to find the coefficient of the y m term in the expansion of (y-2m). 10 3 13

A: we have to find the following

Q: he expansion of the g

A: Here we have to find the first four terms in the expansion of (x1/2 + 1)40

Q: The Binomial The orem states: -- 2. Catb) n 2 ab' n-/ Find the first five terms in the expansion of…

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Q: a) Write down the first term in the expansion of (x + 4)*. b) Write down the remaining terms in the…

A: Since you have asked multiple part question, we will solve the first three part of the question for…

Q: 13 14 Use the binomial formula to find the coefficient of the y"p term in the expansion of (y+3p)*.

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Q: 2). Determine the binomial for expansion with the given situation below: b). The numerical…

A: The binomial coefficients are the positive integers that occur as coefficients in the bionomial…

Q: 2 12 Use the binomial formula to find the coefficient of the q m' 14 term in the expansion of…

A: We will use binomial theorem to find coefficient of required term

Q: 22 2 Use the binomial formula to find the coefficient of the z"x´ term in the expansion of (z- 3x)*.

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Q: Find the indicated term. 17. The fifth term in the expansion of (x – 3)7 18. The coefficient of x®…

A: to find  fifth term in the expansion of (x-3)7

Q: Find the indicated terms in the expansion of the given binomial. The first four terms in the…

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Q: Jse the formula for the binomial series: (1+x)= = = 1 + mx + 1+ Σ m(m-1)-2 ²x² + 2! m(m-1)--(m-k+1)…

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Q: Find the Middle term(s) in each the following expansions : * (z+)" • (3x-2y2)7 8.

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Q: 3. The binomial coefficients can be calculated directly by using the formula So

A: The binomial coefficients can be calculated directly by using the formulank=n!k!(n-k)!