A) Find at least 12 fractions n /403 that have exactly 6 digits in their repetends . In their smallest form , list all repetends that have different cyclic orders .

Q: Verify the following facts about Fibonacci number: If we make a list of any four consecutive…

A: Here the two different four number list of Fibonacci  number with the property.

Q: List all the elements of S4, written in cyclic notation.

A: To list out all the elements of S4.

Q: Show that every rational number has exactly two finite simple continued fraction expansions.

A: To Show : Show that every rational number has exactly two finite simple continued fraction…

Q: 9. Rewrite the fraction with all the variables 4g in the numerator. (work required)

A:

Q: How many 6-digit numbers are there where no three con- secutive digits are the same? (For values…

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Q: ity by 11 by alternately adding and subtracti left, beginning with the units digit-that is, units…

A:

Q: Consider the set of all fractions equal to12. If you take any10 of those fractions, add their…

A:

Q: What elements are generating in the group of addition of the remainders modulo 10?

A: Given: The elements in the group of the addition of the remainders modulo 10.

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: 4 Compute the quantity, W, using w= -3 W W -5 W = (Type integers or simplified fractions.)

A: Given query is to find indicated vector operation.

Q: Determine the nth term formula for the number of square tiles in the nth figure. an az az ag

A: From figure the first figure contains 2 boxes The second figure contains 4 boxes The third figure…

Q: A student is allowed to select at most n books from a collection of (2n+1) books. If the total…

A: We will solve the problem

Q: Subtract 2.701 - 8.4002 and show 87 + 35 using a math drawing to describe the regrouping process.

A:

Q: 5-a) How many prime triples of the form (p, 2p + 1, 4p + 1) are there? Describe them all, if…

A: a) The objective is to state the number of prime triplets of the form p,2p+1,4p+1. b) To verify the…

Q: (b) Suppose you have another book whose ISBN is partially erased so that you can't read the fifth…

A: b) Given there is a book whose ISBN is partially erased so that fifth digit cannot be read. ISBN:…

Q: If you multiply n whole numbers (even or odd) when is the answer odd? Translate into multiplication…

A: If we multiply whole numbers, the pattern is as follows: Even × Even=Even Even × Odd=Even Odd ×…

Q: Derak plans to rotiro on his 65th birthday. However, he plans to work part-time until he turns…

A: *answer:  Amount required on 65th birthday is equal to present value of amount required in future=…

Q: 5.Find the product of the first five terms of a GP, if its third term is 4.

A:

Q: Find the order of [5] in Z23

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Q: 5) Using Fermat's little theorem, determine 21998 mod 7. In other words, what is the remainder when…

A:

Q: Suppose that in a popular restaurant, 4 people can sit around a lazy susan table (a round table with…

A: Given" Total persons=6  Number of seats on round table=4

Q: 5 (9 9 () 2. Find a reduced residue system modulo 2", where m is a positive integer. in a reduced…

A: To find a reduced residue system modulo 2m, where m is a positive integer.

Q: 15) Determine the number of boxes in the nth term of the image below:

A:

Q: 1. Below are squares formed by matchsticks. 2. Count the number of matchsticks in each figure and…

A: 2. Number of Squares 1 2 3 4 5 6 7 8 9 10 Number of matchsticks 4 7 10 13 16 19 22 25 28 31

Q: of all rabbits in a country are in one state and - of the rabbits are in a different state, what…

A: We have that 5/32 of all rabbits in a country are in one state and 2/7 of the rabbits are in a…

Q: Sort this permutation [5 213 4] into identity permutation [123 4 5]. Check what's the number number…

A: The permutation is nothing but the arrangement of objects in different orders. If we permute a set…

Q: th Find the 66 term of the following arithmetic se 2, 10, 18, 26, ..

A: Given : 2 , 10 , 18 , 26 , ....... n = 66

Q: Compute. 13 2) Σ k

A: Given, ∑k=113k2

Q: determine a reduced fraction that has this repeating decimal. 0.222 . . .

A:

Q: Choose the correct group in which each frac tion belongs. 8. 19 10 A Improper fraction B Proper…

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

A:

Q: Test each number for divisibility by 11 by alternately adding and subtracting the digits 1 left,…

A:

Q: a.For the 2019 Comrades marathon, 17268 men and 4357 women entered, 15835 men and 3982 women started…

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

Q: what is the particular solution to the difterential equahion y's +e, subject to y l) = 4e %3D why…

A: Given differential equation is y'=-yx+ex we can write it as y'+yx=ex I.F. is I.F.=e∫1xdx=elogx=x…

Q: to binary. II. Show that any weight not exceeding 2 - 1 may be measured using weights of 1, 2,…

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Q: -)) In how many days does 7 masters paint the wall painted by 5 masters in 14 days

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Q: (2) Explain why the rational numbers are those having periodic representation or with- out infinite…

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Q: Compute the total area A of the (infinitely many) triangles in the figure, if the height h of each…

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Q: 1.8(a) Convert the decimal number 7510 to binary by using the sum-of-power-of-2 method. Ans:

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Q: Find the number of words of 5 letters such that each can be formed with the letters of the word…

A: We need to find number of 5 letters that can be formed by given word without repetition.

Q: Let S be the set of all rational numbers that can be expressed as a repeating decimal in the form…

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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: Find the least common denominator for the group of fractions. 1 14,  19 84,  2 7,  3 11

A: Consider the given fractions 114,1984,27,311.

Q: Represent 9/17 as a sum of distinct unit fractions without repetitions using the splitting method…

A: Step:- 1 Given that 917 Using Splitting Method:- Let  a=917;and  a=917×22=1834 Now, splitting 18…

Q: ou must use an appropriate formula as part of your work for every calculation problem. Answer the…

A: Total number of distinguishable arrangements of  items where k1 items are of one kind, k2 items of…

Q: 1. Starting with any rectangle, we can create a new, larger rectangle by attaching a square to the…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.