1/2, 1/3, 1/4, 1/5, ... recursively. Include initial condition. n an = an-1 + a1 = 1/2 n+1’ n+1 an = an-1 + ai = 1/2 п n An = -an–1, a1 = 1/2 %3D n+1

Q: 4. If you are given $30 every year on your birthday, and put it straight into a bank account that…

A: Principal amount Interset rate According to Recursion formula:    where

Q: Suppose that {an} is defined recursively by: an = (an-1)² - 1 and that ao = 2. Find a2 and az.

A:

Q: 3. The United States population grows at a rate of 0.5% a year. We have around 328.2 million. What…

A:

Q: 20. 21. 2 3x ² - [7x- (4x-x²) + 3] x² -[-3x+ (4 - 7x)]

A: The objective of the question is simplying the given equations .

Q: ↳. Independent trials, each resulting in a success with probability p, are per- formed until k…

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Q: Write the binomial expansion for (x+ 2y)*. (x + 2y)* =D

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Q: MT BF due to tr 2 exp (tr/0.390) 9.6X1018)x 250x106 x1 tz 0:34Ne → TrE 14:99 x 151((p. ftip.fiop)…

A:

Q: 9/5 W/N

A:

Q: A population grows according to the recursive rule PN = 4PN-1 , with initial population P0 = 5. (a)…

A: Given Information:  PN = 4PN-1 P0 = 5.

Q: Starting in the year 2012, the number of speeding tickets issued each year in Middletown is…

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Q: *8.4.13 Multiply using the rule for the square of a binomial (x - 2)² (x-2)-

A: We have to find the square

Q: 3/n-1/2=n-5/n

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Q: ( 9x2 4 if a 2 Let p(x) = 4x + 8 if a < 2 Compute the following values. (a) p(1) = (b) p(2)

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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: 1/2(4z+8)-16=-2/3(9z-12) I am stuck at showing my work, i know th answer is 5/2.

A: The given expression is 1/2(4z+8)-16=-2/3(9z-12).

Q: At the start of a thunderstorm, there is 4 inches of water on the ground. During the storm, water…

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Q: 2. What is the coefficient of x³y¹ in the expansion of (2x − y + 5)8?

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Q: 11 (d) 12/13 + (1 1/12 - 11/1/1)

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Q: Solve the system of linear equations by graphing -10 -5 x - 3y = -3 x + y = 5 10 of 5 5 -10 5 10 -10…

A: We have to solve the given system of linear equations by graphing.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.