3. Give the third term in the expansion of (a+b)*, if a=1/2 and b=1/2, what is the numerical value of this term? If a=1/4 and b=3/4, what is the numerical value of this term?

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: What are the first and last terms in the expansion of (5x + 4y)*?

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Q: Find the coefficient of a-2 in the binomial expansion of  (27a2 - (1/81a3))9

A: Let us consider the expansion x+yn The binomial expansion is obtained as x+yn=∑k=0nCknxn-kyn

Q: a. What is the probability that between 65% and 80% of the sampled students support the university…

A: As part of a course project, a student gathers data on a university campus. The data are related to…

Q: Answer this question

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Q: Use the Binomial Theorem to show that 50 E)(-2)" = 1. %3D

A: Binomial Theorem:

Q: If x is positive, the first negative term in the expansion of (1 + x)27/5 is (a) 5th term (b) 6th…

A: Introduction :

Q: for

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Q: Find the values of a and n

A: Step 1: Step 2: Step 3: Step 4:

Q: ) Write the expansion of (3 + 2x) and use the first three terms of the expansion to approximate3.26.

A: Concept is binomial theoram  3.2 = (3+0.2) 0.2 = 2x0.1

Q: Find the fourth term m the papansion of

A: 1-23x36 use the binomial theorem a+bn=∑i=0nnian-ibi 1-2x336=∑i=066i· 16-i-2x33i

Q: n (x - 1)" The sixth term of the expansion of x is 1287 8 X 3125 . Determine n.

A: Let us consider the expression a+bn. The binomial expansion of the given expression is , a+bn=C0n…

Q: Answer the following: a) What is the general term of (x-y)xy? b) In the expansion of (1+x)^n the…

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Q: Write out the full expansion of (x + y)^7 using either binomial coefficients or Pascal’s Triangle to…

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Q: 21. Given that 3x4.-(2x)³ 12x-² A. 9 B. 11 = = Ax". Find the sum of A and n. C. 13 D. 15

A: Please see the below picture for detailed solution.

Q: Use the first 3 terms in the expansion of (2+5x)6 to approximate the value of (2.05)6

A: We know that a+bn = C0nan-0b0 + C1nan-1b1 + … + Cnnan-nbn

Q: Find the sum of the coefficients in the expansion of (2x² + X a. 15,625 b. 10,765 C. 20,485 d.…

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Q: obtain the binomial expansion of (1-2x)^5 and use it to evaluate(0.98)^5 correct to 5d.p

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Q: What is the coefficient of ?^11?^13 in the expansion (−3?+4?)^24.

A: It is asked to find coefficient of x11.y13 in the expansion of (-3x+4y)24.

Q: What is true about the sum of the exponents on a and b in any term in the expansion of (a + b)n?

A: We have the binomial expansion:…

Q: (x³ + })*

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Q: 1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

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Q: We are given the continued fraction expansion for the square root of 89: [9; 2, 3, 3, 2, 18, 2, 3,…

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Q: The second, third and fourth terms in the binomial expansion (x + a)" are 240, 720 and 1080,…

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Q: Approximate (1.2)10 by using the first three terms in the expansion of (1 + 0.2)10, and compare your…

A: Binomial expansion is the method of expanding an expression that is raised to some power. As the…

Q: 1. Suppose when using the Binomial Theorem an expansion turned out to be the expression as shown…

A: Formula for Binomial theorem: a+bn=an+nan-1b+nn-12!an-2b2+nn-1n-23!an-3b3+.....+bn Given expression:…

Q: Find the middle term in the binomial expansion of(x-3)".

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Q: In two or more complete sentences, explain how to find the third term of the expansion of (2x+y)4.

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