lim square root of (n + 2i) – square root of (n + i). C. O 12. Evaluate the ninfinity B.1 A. 2/i

Q: The Lucas numbers L(n) have almost the same definition as the Fibonacci numbers: if n = 1 if n = 2…

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Q: Work the modular arithmetic problem. (9.7)(mod 5). (9.7)(mod 5) = (mod 5)

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Q: (a) 55 mod 7. (b) –101 div 3.

A: (a) 55 mod 7  As 55 = 7•7+6 So that  55 mod 7 = 6 mod 7

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A: Given query  Need to identify the numbers .

Q: 3. Prove indirectly: "It is known that √7 and √11 are irrational. Prove that √11-√7 is irrational."

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Q: Find ATI A21, IAATI, 12A1, and A-¹1. 5 0 3 A 6-1 4 L2 5 11 51

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Q: 1. Exercise $1.5 #72. Definition: Let n and a be positive integers and let p be a prime number. Then…

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Q: 1. Consider the algebraic expression 6n³-n²+5 -11 a. How many terms are there? b. Identify the…

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Q: 13. (a) Prove that for each integer a, if a 0 (mod 7), then a #0 (mod 7).

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Q: Work the modular arithmetic problem. (11.10)(mod 7). (11 10) (mod 7) = (mod 7)

A: (a)   (11.10)mod 7  =  110 mod 7                            The remainder when 110 is…

Q: Evaluate the following formula for P₁ = 0.5, P2 = 0.1, P₁ P2 = 0, p=0.347407, q=0.802649, n₁ = 68,…

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Q: The height of a ball is modcled by the function h(t) seconds. What are the highest and lowest points…

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Q: Q73. If P(A n B) = and P(A' n B') = ½³, P(A) = p and P(B) = 2p then value of p is :

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Q: Use the method of difference tables to find a closed formula in terms of n for the > i(2i – 1).

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Q: 8. Suppose a, b e Z. Prove that a = b (mod 10) if and only if a = b (mod 2) and a = b (mod 5).

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Q: п(п - 1)(п +1) 8. Prove that Ek(k +1) = 3 k=1

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Q: n people are seated around a round table (n ≥ 3) and each person rolls a fair twelve-sided die. If a…

A: The probability of rolling a prime number on a twelve-sided die is 4/12 = 1/3. The probability of…

Q: Find m if m is not zero, and 3/21 = 8/m

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Q: Work the modular arithmetic problem. (8.9)(mod 4). (8.9)(mod 4) = (mod 4)

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Q: divisible by 3

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Q: 3. Prove: For all positive integers, n, n(n + 1)(n + 2) >i(i + 1) = 3

A: Kindly find the attachment