4. Given that ! n+1 0.47199 determine the value of " +1

Q: 3. Evaluate |(n + 1)! – (n + 2)!|, where n E N.

A: To evaluate n+1!-n+2!, n∈N.

Q: Prove this claim: For every positive integer d and every integer n, the following equation is…

A: Using division algorithm we solve this problem. The steps are given bellow.

Q: O 124 O 101 O24 O 20 20. If an = 4(5)-1, what is S3?

A: Given: an=4(5)n-1 We are required to find: S3

Q: radius of convergence of the power series 2*/n is

A: We will find out the radius of convergence.

Q: 19. What is the value of (pk) when p is prime and k is a positive integer?

A: We know that the value of the Euler ϕ-function at the positive integer n is defined to be the number…

Q: 1. Find x, if 16 e4x = e16 (express answer in terms of In2 and integers)

A:

Q: Find the number of all ordered 4-tuples of integers that are greater or equal to -3 whose sum is 1.…

A:

Q: Which of the following statements is FALSE? (a) 1526152716798897 % 5 = 2. (b) For every natural…

A: Which of the following statements is False?a 1526152716798897%5=2b For every natural number a, if…

Q: dr e+2 O -In(2 + e*) +C O 2ln(1+2e) + C O In(1+ 2e") +C 0 글m(2+ e ") +C O In(1 + 2e*) + C O -2ln(2 +…

A: We can use the method of substitution to solve the given problem.

Q: rd. 17. Show that every decimal palindromic integer with an even number of digits is divisible by…

A:

Q: 3" Lu- 5n)" n=1

A:

Q: If m > 2 is an integer, then m-n² is irrational n=1

A:

Q: 3 Р 1 ? What if 3 is replaced by = 2. For which primes p is -3, 5, -5, 6, or -6 ? Any patterns? Is…

A: The symbol  is the Legendre symbol, used in number theory to denote whether a number is a quadratic…

Q: # 14 please ASAP

A: We need to evaluate 77 (mod 4).By the Fermat’s Little Theorem,

Q: Find an integer n that would guarantee Simpron's Rule S, to be within 10-8 of ³/2dx. You do not need…

A: Given Information:To find:The integer  for Simpsons' Rule.Concept used:Accracy on Simpson's rule…

Q: Let (a) te list eompeebee tolate E , , , () Repeat part a) fo 1 . -a. - e) Ina print statest, tate…

A: We will find  g(2+h) -g(2)h for all values of h and then conclude .  Note : maximum 3 subpart are…

Q: 12.16. Give an example of a prime p of each of the forms: a. 4k + 1 b. 4k + 3

A: Let the prime number be

Q: Compute the value of the expression II023²+1 II/143¹ Enter your final answer as an integer.

A:

Q: i. fan is a multiple of 3. ii. fn+6 = 4fn+3 + fn.

A: I have given the proofs by mathematical induction

Q: e.g. Student ID=61190003 average=(6+1+1+9+0+0+0+3/8) x 0.01 = 20/8 = 2.5 then round the number to an…

A:

Q: 4. D = {x | x is the letters of your First Name} e non 5. E= {x|x is a positive integer less than 12…

A: Solved below

Q: The 1.41214 is wrong, or at least for me

A: b) It is given that the number of samples is doubled.

Q: 6. If n is an even integer and k is an odd integer, then which of the following could be an even…

A:

Q: 11. What do you obtain when you raise 27 to the 8/3 power ? * 1/3 of (27 to the 8th power)

A: Any number a can be written as , where b is any natural number. Also, 27 is a cube of 3, so 27 can…

Q: Find the rational number which has the following repeating decimal expansion:…

A: Let us determine the rational number of the repeating decimal expansion using the rule of 9 in the…

Q: Given that "C; = "C'5.the value of the integer n is 6. B 5 C 4 D 3

A:

Q: Find the last digit in the decimal notation for 22024. You cannot rely on a calculator in your…

A:

Q: Determine the following. 1. AnB 2. AUB 3. |A|

A:

Q: What is the contrapositive of "For all integers  n, if ? is prime, then  ?(?) = ?−1"?

A: We have to find the contrapositive statement for the given conditional statement which we can find…

Q: Give a recursive definition for the following. (c) and (d)

A: In this question, concept of recursive function is applied. Recursive Function A recursive function…

Q: Simplify the following: (n + 1)! 5. (п — 1)! 1.8! - 2.13! – 5! 10! 3. 7! 2! 4. 7! + 0! n! (n + 1)!…

A: The operator "!" denotes the factorial of a number. The factorial of a non-negative integer n is…

Q: 1.f a" da + C, for any real number n. n+1 O A. True ов. False

A: The solution is given below