4. Consider the expansion of . The constant term is 960. Find the possible values of a. а. +1 с. +4 b. +3 d. +2

Q: 10 3 Consider the expansion of

A: Given that The aim is to find the coefficient of in So, to find r for the general term,

Q: Find the constant term in the expansion (2y + 1) O 4032 4232 O 4323 4023

A:

Q: 1. What is the value of the coefficient of the 4th term in the expansion of (a + b)7 O 220 445 985 O…

A:

Q: How many terms are there in the expansion of (a+b)48 after like terms are collected?

A: This question is related to binomial expansion. We will solve it using given information.

Q: How many digits does a number 8^(n). 5^(3n+4)  have, if n belongs to N ?

A: Given data Number: 8n .5 (3n+4) We have to find digits in number.

Q: Find a reduction formula for ∫sinnxdx, n≥2.

A:

Q: Which of the followings is/are in the expansion of (a+b)^6?

A:

Q: What is the coefficient of x+<y+3 in the expansion of (x+y)252 O 12 25 13 13 12 O 13

A: To find the coefficient of x12y13 in the expansion (x+y)25…

Q: Suppose that A,B⊂S such that Pr[A|B]=3/7, Pr[A]=3/10 and Pr[B′]=13/20. What is Pr[B|A′]? Write as a…

A:

Q: Suppose that a certain basketball athlete earned $22,000,000to play 80 games, each lasting 48…

A: Given: Suppose that a certain basketball athlete earned $22,000,000to play 80 games, each lasting 48…

Q: 3. What is the value of the 6th term of the expansion (a + b)? O 84a 66 O 126a 64 O 126a*b5 84a 3

A: Given: (a + b)9.

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: 1. Find a counterexample to show that each statement is false: The sum of three multiples of 5 will…

A: Counterexample is to show the statement false by proving some example is wrong with the statement.…

Q: 5n. Determine for which n n-2 For nz 2, let on =

A: Here we have to determine the n for which |an|&lt;1 for all n≥2 where an=5nn2-2

Q: (4) Two partions of the inteval (0,11 given bedow. Chedk which of the following options is regular.…

A: To find- Two partions of the interval 0, 1 given below. Chick which of the following options is…

Q: a)What is N? lo) What is Sx?

A:

Q: 3. Determine the nth term formula for the number of square tiles in the nth figures: a) 『国曲 a1 a2 az…

A: Consider

Q: find the nth term of 1/2, 1/4, 1/6, ... , n = 7

A:

Q: What is the fifty-fifth term of 1, -1, 1, -1, . A) o в) 1 (c) -1 D infinity

A: Given that: 1, -1, 1, -1, ....

Q: 5. What is the value of the coefficient of the 5th term in the expansion of (a+ b)°? O 10 0 6 O 15 O…

A: In this question we will apply the concept of general term of a binomial expansion.

Q: A will states that - of the estate is to be divided among the relatives. Of the remaining estate, -…

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Q: 29 Using the combination formula expand (5+x)

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Q: If the 2nd, 3rd and 4th terms in the expansion of (a + x)" are respectively 240, 720, and 1080…

A:

Q: An object with negligible air resistance is dropped from the top of theWillis Tower in Chicago at a…

A: In this question we will use basic of algebra. We will simply write an expression of equations of…

Q: 1. Show that b, = (n!)'/n > 20.

A: Consider n!1n=an1n.

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: we have to tell the first three terms in the given expression. 3c25+c4525

Q: Show that the following term β -reduces to 11 : [2, 3, 4] plus 2

A: Church Encoding : In mathematics, Church encoding is a means of representing data and operators in…

Q: (c) How many strings of four decimal digits have exactly three digits that are 9? (d) Write down the…

A: We have to find the coefficient.

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in.…

A: Given: A box with a square base and no top is to be made from a square piece of cardboard by cutting…

Q: 3 3 What is the value of the integral 2x ydydx ? Select one: O 4/83 O None of these O 83/4 O 4/81 O…

A:

Q: 15. Determine the coefficient of the term that contains 16 in the expansion of 11 (2²+5) ¹¹

A: Use the given expression.

Q: Determine the value of 'k' if the L[ tk4t ] = 1/(s² - bs + 10).

A:

Q: 12. The early Egyptian Ahmes Papyrus (1650 B.C.E.) shows how to use a doubling method to divide 696…

A: To divide the number 4050 by 225 with the doubling method. In this method, first take the divisor…

Q: 4) a. If 35! = x, then find 33! in the term of x (without using calculator).

A: Given data is : 35!=x Then, 33! is given as: 35!=xx=35×34×33!33!=x35×3433!=x119033!=0.00084x

Q: 5. (a) Find a formula for the number of square tiles in the figures below. n= 1 n= 2 n= 3 n= 4

A: To find a formula to determine the number of square tiles in the given figures.

Q: 20 n 27 = loo64tnl00/31

A: In this question, some logarithmic property is applied. logab=logbloga logab=bloga

Q: How many terms are there in the expansion of (a+4b)^20 ?

A: Given expression, (a+4b)20

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: By Binomial expansion, we know that the pth term of the expansion x+yn is np-1 xp-1yn+1-p. So we get…

Q: n that includes all terms up to

A: The initial value problem is , w''+7xw'-w=0. It is given that w0=6, w'0=0. w''+7xw'-w=0. To find the…

Q: What is the value of m in the term Kja b“cm in the expansion of (a+b+2c)12 ?

A:

Q: 5. Find the middle term in the expansion of; (+)* 12

A: Given expression x2+2x212 The objective is to find the middle term in the expansion.

Q: find the nth term of 1/5, 1/10, 1/15, ... , n = 10

A: In this question we have to find the nth term where n is 10.

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A:

Q: 6. Find the length of AB in terms of n. 204 B 16 in.

A:

Q: 1) write the expansion of : (3a + 2b)5,

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

Q: 22 Men can completea job da In how many days will 32 m complete that job? (1) 14 days (3) 16 days…

A: It is given that, number of men to complete the work is, N1=22 number of day's to complete the work…

Q: Prove (without expansion) a b c d |-b -d d -b = (a? + b? + c? + d?)? a a |-d -c b a

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Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 2 in.…

A:

Q: It is given that: 21 = 2 22 = 4 23 = 8 24 = 16 25 = 32 26 64 What is the last digit of 2100? 4 6 2 O…

A: