Given the recursive formula Fn =F(n-2)+F(n-1). Find the following and check using the Binet's Formula 1.F9 2.F12 3.F25

Q: The coefficients of three consecutive terms in the expansion of (1 + ay" are in the ratiol: 7:42.…

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Q: Show that E=12n)/n! diverges. Recall from the Laws of Exponents that 2m) = (2")".

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Q: Given the first term is: t1 = 5 and the recursive definition is: tn+1 = 3 · tn, what would be the…

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Q: The X numbers may be defined recursively by Xo = 0,X1 = 2 and X, = (X,-2)² + 2Xn-1 a) Please find…

A: First write the formula for Xn , and calculate the further value: Part( a):   First write the…

Q: 3. The third term in the expansion of (x +p ) is 252r°. Find the possible values of p. а. +4 с. +2…

A: Given that the third term of the expansion of  (x+p)8 is 252x6. We find all possible values of p.

Q: The X numbers may be defined recursively by Xo = 0, X, = 2 and X, = (Xn-2)² + 2Xn-1 %3D a) Please…

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Q: Given the recursive formula, ƒ (n) = f (n − 1) + f (n − 2), n ≥ 3, and f(1) = f (2) = 1. What is f…

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Q: Q4: Find the term independent of x in the expansion (1+

A: Binomial expansion is used.

Q: 3) Find the non-recursive formula for f (n): f (0) = 6, f (n) = f (n – 1) + 15 for n>1

A: Given f(0) = 6 and f(n) = f(n-1) + 15

Q: Consider the following recursive definition: 0 if m21 and n= 0 2 if m21 and n =1 f(m,n) = { 2n if m…

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Q: Solve the following re is correct with a proo a = 3 with a = a -1 +2k for all

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Q: 3. The fifth term in the expansion of (2x + k) is equal to the fourth term in the expansion of (2 +…

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Q: At a bowling alley, the cost of shoe rental is $2.75 and the cost per game is $4.75. If f(n)…

A: Calculation of above requirement are as follows.

Q: Transform the equation 17? ^2 + 18?? −7?^2 − 16? − 32? − 18 = 0 to one in  which there is no term…

A: Let ? denotes x and y respectivelyGiven:…

Q: Find the term indicated in the expansion: (x + 2y)10; the term containing y6

A: we have to find the term indicated in the expansion: (x + 2y)10; the term containing y6

Q: reedom, why is it n-2? I get n=20, but where did the 2 co

A: Given: coefficient of intercept is 3.402, coefficient of PX is –2.2, coefficient of PY is 1.8…

Q: Find the first three terms from the expansion 1. (x+3y)^9 2. (x^2-5)^5

A: use the binomial theorem

Q: The Lucas numbers can be generated using the recursive formula: L1 = 2 L2 = 1 LN =LN–1 +LN–2 What is…

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Q: by x= 370,000(1-e^-0.077

A: Given an advertising agency has found that when it promotes a new product in a certian market 0f…

Q: Given the explicit formula, find the first 5 terms. f(n) = 3"-1 %3D

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Q: Find the term indicated in the expansion (x + 2y)10; the term containing y6.

A: The given expression is x+2y10 To find term containing y6

Q: 1. Find the coefficient of x5y3 in expansion of the expression (x + 3y)8 2. Sixteen people attend a…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Expand and simplify the expression: (x² + e-2x In (e*+1) ex

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Q: For the model (1-B)(1-0.2B)X(1-0.5B)a,, find forecasts for one and two steps ahead, nd show that a…

A: Given: Let Xt∧k=1.2 Xt∧k-1-0.2X∧tk-2 ---(1)

Q: Find the first three terms of the expansion (4 – 2x). 4°(1- 폴 + 쫄 +…) O b. 2°(1 + 꼭 + 플 + …) Oc…

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Q: Use the recursive formula f(n) = 0.4 ⋅ f(n − 1) + 11 to determine the 2nd term if f(1) = 4.

A: A sequence is a function with the domain being the set of natural numbers and the range being the…

Q: Find the fifth term in the expansion (3x+4y)8 A. 840x4y4. В. 840х у3. ,5, C. 3360x³y5. С. D.…

A: Expansion using bionomial theorem

Q: express the equation in exponential form  a)in(7)=5y b)in(t+5)=-1

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Q: The cuberoot of a number can be approximated by the recursive formula A 1 2Sn-1 Sn (Sn-1)², where so…

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Q: n(n+1)(2n+ 1) 6 i=1

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Q: (c) Find the term independent of x in the expansion of, 15 2 +

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Q: n+5n  In its simplest form

A: n+5n    In its simplest form is

Q: -3an The solution of the recursion relation ant1= n > 0, with ao = 1, (n+1)? " is an O None of these…

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Q: Given the recursive formula, ƒ (n) = f (n − 1) + ƒ (n − 2), n ≥ 3, and ƒ (1) = ƒ (2) = 1. What is f…

A: Answer: The solution is given below:

Q: Q2) n(x) = x-1 , k(x) = (x – 1)/2, mx) = (x + 8)¯1 (x + 8)-1 Find a formula for ( m onok).

A: See answer below.

Q: In another proof, I found the following statement. Since we are given deg f(x) = n, then the…

A: Definition: (Quotient ring) Let R be a ring and I be an ideal in R. The quotient ring is defined as…

Q: Consider an application whose runtime can be expressed as f(n) = 2f(n/3) +3n. Which of the following…

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Q: 2. the number of terms in the expansion of  ( (x+4y)^3(x-4)^3)^2 is? 3. The 5th term of from the…

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Q: Suppose you are expanding (5x - 2y)º. a) i) How many terms are there in the expansion? ii) State the…

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Q: In the expansion of (2r + 1)", the coefficient of the term in x is 40n, where n e positive integers.…

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Q: Given the first term is: t1 = 5 and the recursive definition is: tn+1 what would be the second term?…

A: We have t1=5  And, tn+1=3.tn We need to find second term

Q: Given the recursive formula, ƒ (n) = f (n − 1) + ƒ (n − 2), n ≥ 3, and f(1) = f (2) = 1. What is f…

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Q: Find the value of t(5) if you are give t(3)=-1 and the non-recursive formula is given as…

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Q: Given this explicit rule below, complete the table with the first 4 terms. f(n) = 5 – 3n f(n)

A: The solution is given below.

Q: Find term number 3 in the expansion of: (3x + 2)* . the coefficient for term number 3 =| 216 the…

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Q: If a_1=5a1​=5 and a_n=a_{n-1}-4an​=an−1​−4 then find the value of a_6a6

A: Given: a1=5an=an-1-4

Q: Use Gauss’s trick to determine H(n) = 1 + 5 + 9 + 13 + … + (4n – 7) + (4n – 3) + (4n + 1) I'm…

A: Explained below

Q: Given the recursive process f(1) = 5, and f(n) = f(n - 1) • 8 for n 2 2, what is the value of f(3)?…

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Q: 2. (Applies to Standards D2(c), D8(a) and D9(a)) At pressure Patmosphcres, a certain fraction f of a…

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Q: 1p Mr. Kelly has eaten Shake Shack three times a week since Module 4 started, as the pictures of…

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