Show that 42n -1 is divisible by 5 for n>0

Q: 2. 6n - 1 is divisible by 5 for n any positive integer

A:

Q: 13. Use the idea of FLOF to rewrite 6,000+ 840 in at least 3 different ways that would produce the…

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Q: If N =30 -1. Is N is divisible by 125?

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Q: 32) -1372 5(2k – 7) + 7k

A: Given inequality,                - 137    >=   5(2k - 7) + 7k ;

Q: What is the exponent on the x variable of the 3st/nd/rd/th term in the expansion of 17 (x2 +3y)" ?…

A: using formula:-

Q: A number N is divisible by 4 iff the number formed by the last 2 digits of N is divisible by 4. For…

A: We can find number divisible by 4  by using the concept given in the question

Q: 3. Use your result above to show that the number 1,111,111,113 is divisible by 3 while the number…

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Q: Evaluate cosh(In 3). Enter your answer as a reduced fraction.

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Q: Find the Prime Factorization of 648, 1056, and 1496. Provide at least one divisibility test for each…

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Q: Suppose each license plate in a certain state has two digits, followed by two letters, followed by…

A: Given,no.of letters=24no.of digits=10

Q: How to test the divisibility by a number using binomial theorem. Explain step by step.

A:

Q: 9.) Is 9" + 3 is divisible by 4? PROVE IT!

A: Given : 9n+3 is divisible by 4. To Prove: The given statement is true for n=k+1. Consider Tn=9n+3.…

Q: Discrete Math

A: According to the given information, Suppose that:

Q: Suppose 51 cars start at a car race. In how many ways can the top 3 cars finish the race? The number…

A: Solution: From the given information, number of cars start at a car race is 51.

Q: divisible by 3 for

A:

Q: All composite number can represent as product of primes numbers

A:

Q: How many integers greater than 5400 and less than 10000 have both of the following properties: -…

A: To count the number of positive integers satisfying all the required properties

Q: In a certain province license plates have 2 upper case letters followed by 3 digits.  How many…

A: Let m be the event that the number of plates starts with A. Let n be the event that the number of…

Q: What is the middle term of the expansion (æ² – 4)* - 43750x^8 59080x^8 43500x^8 17920x^8

A: We will find middle term as

Q: Exercise 6.4 (1) For which natural numbers n is the number 3" + 1 divisible by 10? Find the…

A: (1) We have to find the natural numbers for which the number 3n+1 is divisible by 10. (2) We have to…

Q: very third grade class has acert

A: The solution is given below

Q: How many total ways can we form a 3-letter password or a 4-letter password using the letters from…

A:

Q: Find the number of integers between 1 and 10,000, inclusive that are not divisible by 4, 5, 0r 6.

A: Number of integers between 1 to 10,000 which are not divisible by 4,5 or6

Q: >(6k – 4)(7k + 3) - k=1 Enter your answer as a number without any arithmetic symbols. Sum =

A:

Q: Show that n-lis divisible by 8, if n is an odd positive integer

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Q: 5. Given a real number x and a positive integer k, how many multiplications are used to find kx by…

A: Given,A real number x and positive integer kTo find: Total number of multiplications used with the…

Q: 3. Show that 13" – 7ª is divisible by 6 for n > 1.

A: As per Bartleby guidelines we can solve any one question at a time. Hope you understand.

Q: How to find σ if σ2 =(1657324)?

A: In general, the terms σ2 and σ will be defined as:  σ2-population varianceσ-population standard…

Q: (7+2)^2

A: (a+b)2 = a2 + 2ab + b2

Q: 3.) An airplane takes off and then climbs 2600 feet. After 25 minutes, it descends 150 feet. What is…

A: Please note that as per our guidelines if multiple questions are posted, we can answer the first…

Q: A nursery employee wishes to plant 7 aplle trees, 5 pear trees, and 10 apricot trees in one row.…

A: Given a nursery employee wishes to plant 7 apple trees, 5 pear trees, and 10 apricot trees in one…

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

A:

Q: Number 332 - 1 has exactly two divisors greater than 75 and less than 85. What is their product?…

A: To find: The product of the divisors of 332-1 that is greater than 75 and less than 85. Given…

Q: Show that 3-4" + 51 is divisible by 3 and 9 for all positive integers

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Q: divisible by 3

A:

Q: Please Prove whether it is True or False. The value of nª - n² is divisible by 6 for any integer…

A: To prove that whether the given statement is true or false

Q: The n in X" indicating the number of factors of X.

A: solution:

Q: Using the fast exponentiation method (page 182), determine 535 mod 47. Show your work.

A: We will find out the required value.

Q: 4503 is divisible by 2,3,,5,6,9or 10

A: 4503 is divisible by 2, 3, 5, 6, 9 or 10.

Q: Rehan proved by mathematical induction that for all the positive integers, n^3+2n is divisible by 3.…

A: Show true for n=1 Let P(n):=n^3+2n be the statement now 3=1+2=(1)^3+2(1) 3 is definitely divisible…

Q: Use Mathematical Induction to show that 52n -1is divisible by 8,   ∀ ∈ n N.

A: Use Mathematical Induction to show that 52n -1is divisible by 8,   ∀ ∈ n N.

Q: composite. 10. Suppose that n = 2³ x 5² × 7 × 17³. Give the prime factoriz= (Hint: Do not work too…

A:

Q: 4 There is an infinite number of ways to represent 1 on the number line. In the space below vrika au…

A: We can express 1 in an infinite number of ways Have to write the four expressions multiplying by 1…

Q: Without actual division show that 1. x4 −3x3 +3x2 −3x+2 is divisible by x−1 and x−2. 2. r3 −1, r4…

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Q: se mathematical induction to show    n ≥ 0, 7n - 1 is divisible by 6

A: Given: n≥0, 7n-1 To prove: 7n - 1 is divisible by 6

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

A: Given expression: 3c+c247 Concept used for the general term:…

Q: Prime divisors of two numbers a and b are 2,3 and 5 and product of these numbers a and b is 5400.…

A: The prime factors of the two numbers are 2, 3, and 5 and the product of these two numbers is 5400.

Q: Show that 19 divides 10*8n-1 + 33n-1 for every positive integer n.

A: Concept: Mathematical induction: For each and every natural number n, mathematical induction is a…