Given an integer n ≥ 1, how many hexadecimal strings of length n begin or end with a decimal digit? O None of these. 10(16)*¹+10(16)*1 O10(16)+10(16)*¹+10(2)(16)* 10(16)-1+10(16)*¹-10(2)(16)* © 10(16)−¹ +10(16)*¹ — 10(16)

Q: Suppose that {an} is defined recursively by: an = (an-1)² - 1 and that ao = 2. Find a2 and az.

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Q: In the expansion of (2+x)"| 1+ find the term that contains x². а. 9x? 25x² с. b. 16x? d. 36x?

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Q: 5(x+ 11) (x+11)(x+ 12) O 5 x**-11, x* -12 5 x+ 12 X* -11 O simplified form

A: = 5(x+11)/(x+11)(x+12)   Value of x other than x=-11. making (x+11) = c = 5c/c(x+12) =5/(x+12);…

Q: (7) (a) Find the order of a modulo 7 for a = 1, 2, 3, 4, 5, 6.

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

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Q: 2(5) – 3(1 – 6) 1. Is even integer? 5 2. List all even integers between -6 and 6. 3. Is 124/6…

A: Four questions are given. The solution to the four questions are given below.

Q: 8. Find the number zeroes with which the decimal representation of 6000! terminates. (a) 1472 (b)…

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Q: 1 The sequence an 2n + 3 (a)decresing (b) increasing (c)not monotonic a b C

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Q: Find a recursive definition for the set of all integers which are greater than or equal to 15.

A: Sequence is defined as an arranged element that satisfies some definition. Sequences are many types…

Q: 23. If 6p-4 is divisible by 7, where p is an integer, which of the following is also divisible by 7.…

A: Option a is correct answer

Q: Consider the following notation. (:) - n! x!(n – x)! art 1 of 3 What name is given to the notation…

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Q: Find a, b, and n in the expansion of (a + b)" if the first three terms of the expansion are 729,…

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Q: 2 and an+1 Зап + 2. Find an explicit Suppose that a1, a2, a3, . .. is defined by a1 formula for a,…

A: Suppose that a1,a2,a3,...,...is defined by a1=2 and an+1=3an+2.find the explicit formula for an in…

Q: 2. What is the general term of 1, 3, 6, 10, 15? O 2n – 1 n^2 – 1 (n^2+1)/n O (n(n+1))/2

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Q: (2). What is the binary representation of the following: (a) (64.37109375) 10.

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Q: 3n 3. Which of the following is the correct expansion of E-2(-1)" ()? c. (-;+"-#+) 243 243 + 6. 27…

A: The correct expression is option (D).

Q: 4. Suppose that a positive integer is written in decimal notation as n = akak-1 a2a1ao where 0 <a;…

A: Here, we use theory of congruences.

Q: Given a positive integer n, how many decimal strings of length n begin or end with an even digit?…

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Q: 3. For the following terms from the expansion of 10 (a + b)¹⁰ state the coefficient in both „C, n r…

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Q: Write the expansion of each expression using sigma notation. 19 (-Sm – 7n)" 19 19-7 (-Sm)"(-7n) Y-0…

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Q: Match each of the following integers with its equivalent representation in a different base. (123) g…

A: Number system are of the type  Binary decimal with two bits 0 or 1. The decimal number is from 0 to…

Q: 10 [1] Find the coefficient of the term involving x* in the expansion of (3x - a. -262444 b. -262440…

A: We have to find the coefficient of x^4.

Q: (242²-121²) 242*121 O 1 O 2/3 O 11/3 O 3/2 ||

A: This question is based on formula  a2 - b2 = (a-b)*(a+b)

Q: Given an integer n 2 1, how many decimal strings of length n begin and end with the same digit?…

A: Given an integer n≥1 We have to find the number of decimal strings of length n begin and end with…

Q: Use Pascal's Triangle to expand the binomial (x + 1)° O 25 + 5x4 + 10x + 10x2 + 5x + 1 O g5 - 5x1-…

A: Pascal's triangle…

Q: Is the following statement true or false? n+1 For every odd integer n, To answer this question, let…

A: Given statement true or fasle For every odd integer n {n /2} = n+1 /2

Q: 2. When the expression (156)(205) (557) is evaluated, it ends with a string of consecutive zero's.…

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Q: A scientist noticed that the population of a certain country could be represented by the following…

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Q: 3. How many zeros at the end does the number 2022! have? (n! is a product of all positive integers…

A: Given,Number = 2022!To find: Number of zeros at the end (trailing zeros) of the given number  As per…

Q: Given a positive integer n, how many decimal strings of length n begin or end with an odd digit?…

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Q: Describe geometrically the effect of the transformation T Let A = -(1) Define a transformation T by…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: Use Pascal's Triangle to expand (5 + 2y)*.

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Q: A) Express the following using favtorials and simplify: ([n] [2]). B) Show the following using…

A: Consider the combination n r as nCr. Note that, nCr=n!r!×n-r!. A) n…

Q: 2. Prove that n(n + 1)(n + 2) is always divisible by 6

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Q: Suppose that |a| = 24. What is the generator of (a²l)n (a!o)? a20 a a14

A: Suppose that |a| = 24. We have to find the generator of &lt;a21&gt;∩&lt;a10&gt; .

Q: Let Find formulas for the entries of M", where n is a positive integer. Hint: a formula such as 5…

A: The given problem is to find the entries of Mn for the given following matrix M. We have to find the…

Q: x² + x²³²+x² + x³²+x² + x ² 7 ²4 3, 567 Find the coefficient of X18 in I

A: Given equation is x2+x3+x4+x5+x6+x74. To find: Coefficient of x18.

Q: 2(5) – 3(1 – 6) Is even integer?

A: If an integer is divisible by 2, then it is called an even integer. For example, 2,4,6 etc. are even…

Q: 10 Which term of the expansion of (x²+4) ¹º contains x 20 Term number contains x 20

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