3. The sequence 20, 21, 22,...,n,... is defined by the linear recurrence: x0 = 2, x1 = 1, and xn = 3xn-2- 2xn-1, for n > 2. (a) (4 pts) Find 22, 23, 24 and 25 directly from the definition above. (b) (6 pts) Find a formula for In, and use this formula to calculate 15. Suggestion: Use your answer to (a) to check your formula.

Q: 7. 5(c+4)=D.

A: To find the value of C

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A: Given equation is : 8  ez = 16 i⇒ez = 2i let  z = x + iy ⇒  ex + iy   = 2i⇒ex (cos(y) +i sin(y)) =…

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A:

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A:

Q: justify lim O Find and the xy

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A: Given 2n=a(d+g) a=?

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A: The given system of equation is: 4x+2y=22x+2y=4

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A:

Q: 8) 2 . 1 1 X - 3

A: Simplification

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A:

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A:

Q: Solve. 7) 2x = /3x + 4 Зx +

A: Square both sides and solve the quadratic equation. Take care of one thing that when we squaring an…

Q: 4. Determine the sum and the product of the roots of 3x2 11x – 6. %3D

A: Sum of roots = 11/3 Product of roots = 2

Q: Solve A= 2BC+ 2BD for B. B =

A: Let,  ax+b=c This gives, x=(c-b) /a is the required solution for x.

Q: Find two positive numbers a and b such that 2a + 3b = 1 and so that a3 + b2 is as small as possible.

A: Find  two positive numbers a and b such that 2a + 3b =1 and so that a3  + b2  is a small as…

Q: Find all values of the following roots. a) (31)¹/2 b) (-i)¹/4 c) (-1)¹/4

A: According to guidelines we can solve only first three subparts, please repost remaining subparts.

Q: Find +62+7) dr 1(2²³/20 +C

A: Integration  ∫3x2+6x+7dx

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A: To find: The equivalent expression to the expression 3xbx+10-x2-5x+c. Calculation: Expand the…

Q: Find a pair of integers x and y such that 66x + 48y = gcd(66, 48)

A:

Q: n-K Shaw That

A:

Q: 1 Solve: (-2)*= 256 A) 8 C) B) -128 D) -8

A:

Q: 5) Solve: 2 1n(4 - 3x) + 1 = 7

A:

Q: compose a problem after exercise (24:6)+(32:8)+(81:9)|

A: Given Expression: (24:6)+(32:8)+(81:9)

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Find the coefficient of x7 in (1 + x + x² + x³ + x4 + ...)¹3

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A:

Q: Can you please solve this for C. Please do it on paper.

A: From the given information:

Q: 3. Solve: 5(9) + 40(32) - 450

A:

Q: 4. Solve 5x3 - 3x2 – 32x – 12 = 0

A: We have to solve the equation

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A:

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A: We solve the limit of given function.

Q: Solve for x: 7**2 = 52x-3 %3D

A: We have to simplify this expression and then take the log on both sides, then solve for x.