the splitting identity and (b) Fibonacci’s method

Q: what does 1/69C5 means? I understand you have to implement the 5 because five numbers are chosen out…

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Q: (a) (b) 2 3 ง 2 10 2 5 : 3 9 + 4 12 4 15 2 3

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Q: Find a fraction in between 21/34 and 34/55  Find two fractions in between 2/7 and 3/7

A: We need to find fraction between given fractions.

Q: Simplify the following fraction.   (Factorials) 5-   77!/74! x 3!

A: Given Expression : 77!74!×3! The factorial for n is defined as n!=n×(n-1)×(n-2)×(n-3)×(n-4)⋯×3×2×1

Q: What is the summation notation of this expanded form: A. (1/3)+(3/5)+(5/7)+(7/9) B. 1-4+9-16+25

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Q: How many ways can a teacher choose a group of 4 students to represent a class of 17 students on…

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Q: a) Explain how to write 3.7 and 1.29 as improper fractions whose denominators are products of 10s.…

A: The solution is given below

Q: Example 5: Show that v2 cannot be written as a fraction.

A: We can use the concept of rational number in order to solve the given problem.

Q: Consider sum 1+5+9+13+...+81 what is a6

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Q: Find the multiplicative inverse.

A: 1(5/7) = 12/7  Therefore we  need to find a number such that product of these two number is equal to…

Q: What fraction exceeds its pth power by the greatest number possible (a) pº -1 (b) (c) (d)

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Q: Multiply and Divide Fractio Find each product. 1 8 1) 2–.. 2 5 1 1 3) 1/2

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Q: After the seventh month of a 12-months loan: The numerator…

A: Given, n=7 Numerator= (n+11)+(n+10)+(n+9)+(n+8)+(n+7)+(n+6)+(n+5) Denominator= (n)+(n+1)+...+(n+11)

Q: Mario claims that if the denominator of a fraction I5 a decimal. Do you agree? Use an example to…

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Q: (a) Write 2163 as a product of prime numbers. 11

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Q: (a) Place the digits 7, 9, 10, 11, and 12 in the circles to make the sums across and vertically…

A: The digits 7, 9, 10, 11, and 12 are given.a) Arrange the numbers such that the horizontal (the sum…

Q: For the given values of n and r, evaluate (a) n! (n-r)! and (b) = n! r!(n-r)! n! (a) When n = 13 and…

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Q: (a) Find the remainder when 30! is divided by 31.

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Q: Write the nth term for the following (n starts from 0): 1- 0+24+54 +96+156 +..... 2- 0.4, 3.8, 13.2,…

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Q: Find the sum 1 9k2 + 12k – 5 k=1 Express your answer as a rational expression in terms of n.

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Q: You should have observed that the general pattern using the fractional format is: 2n 8642 I(n) = 2…

A: We have given a series I(n)We have to observe and rewrite in general pattern

Q: What are the types of rational algebraic fractions?

A: There are two types of rational algebraic fractions namely proper algebraic fractions and improper…

Q: llowing. 4"*2 36-1 .36 1 252.5" 27" (c) 752.9* n-2 (b) 45*1.5"1.811 n+1 n-2

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Q: (b) The 4th term of a GP is –96 and the 7th term is 768. (i) Find the first term and the common…

A: By using  nth term of GP formula And from the given information we can get common ratio by using it…

Q: We are given the continued fraction expansion for the square root of 89: [9; 2, 3, 3, 2, 18, 2, 3,…

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Q: 4. Concept Check Explain how to find the LCD of the 3 fractions 10xy z 25xyz"

A: Given fractions are  3/10xy2z , 6/25x2yz3

Q: Simplify 33/81 to the lowest terms. How do I find the prime factorization for the numerator and…

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Q: Express 1/11 as a repeating decimal, using a slash to indicate the repeating digits. What are the…

A: Consider the number 111. Divide the number 1 by 11 as follows. 110.0909100991000100991 It can be…

Q: Find the total length of the hypocycloid x2/3 + y2/3 = 52/3 (Use symbolic notation and fractions…

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Q: Calculate a) 1 2/7 x (-2  2/3) ÷ 13/7 + 11/3  b)In a GP the 6th term is 972 and the 3rd term is 36.…

A: Part (a) Given expression is 127×-223137+113

Q: Q.1 - Evaluate the sum indicated by the notation: 20 2 (k – 3)2 k=1

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Q: (b) The 4th term of a GP is -96 and the 7th term is 768. (i) Find the first term and the common…

A: See the detailed solution below.