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2 years ago

Given the recursive formula shown, what are the first 4 terms of the sequence?

Mathematics

1 answer:

Lorico [155]2 years ago

3 0

Answer:

5,20,80,320

Step-by-step explanation:

a1 = 5

an = 4 an-1

Let n = 2

a2 = 4 * a1 = 4*5 = 20

Let n = 3

a3 = 4 * a2 = 4*20 = 80

Let n = 4

a4 = 4 * a3 = 4*80 = 320

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Find the complex conjugate of z1 of z1=8+i

kakasveta [241]

Answer:

this is just math jargon... a conjugate is the same numbers but with an opposite sign.. got it?

Step-by-step explanation:

z1' ( the prime is often used for conjuates it's also used in calculus but later)

Z1' =8-i

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2 years ago

Suppose a college student pays $500 for tuition fees. However, she also has to pay $250 for her textbooks (ouch!). What percent

Dominik [7]

750 dollars in total <=500+250=750
250/750=1/3 or 33.33333333%

7 0

2 years ago

Find thea value of x in the following proportion<br>2:5=14:X<br>

Alona [7]

Answer: x = 35

Explanation:

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2 years ago

Read 2 more answers

Radioactive Waste The rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt,

Dmitry_Shevchenko [17]

Answer:

$\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250$

Step-by-step explanation:

Given:

$T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}$

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

$T =\displaystyle{\int^{\infty}_0 {50e^{-0.04t}} \, dt}$

now we need to solve this integral!

$T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}$

$T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0$

$T = \left|-1250e^{-0.04t}\right|^{\infty}_0$

$T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})$

when any number has a power of negative infinity it is 0. because: $a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0$ , like something being divided by a very large number!

$T = (-1250(0))-(-1250e^0)$

$T = 1250$

this is the total amount of waste

6 0

2 years ago

Is it possible for a system to have more than one solution? Explain your answer

Anastasy [175]

A linear system can have infinite solutions if both systems represent the same line. if a linear system down not represent the same line then it can only have one or no solutions. No solution is if the system is representing parallel lines and one solution represents an intersection of the two lines. in a nonlinear system you can have infinite or up to a maximum of intersections as the highest degree of the systems.

7 0

3 years ago