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Svetach [21]
3 years ago
9

Question 3 50 points

Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answer:

this is for homework not for test or quizzes

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2 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!
Ivanshal [37]

Answer:

This series is divergent

F

Step-by-step explanation:

we are given a series

Firstly, we will find nth term

Numerator:

3, 4, 5,...

so, nth term will be

a_n=n+3

Denominator:

4,5,6,....

so, nth term will be

b_n=n+4

so, we can find it's nth term as

c_n=\frac{n+3}{n+4}

we can use divergent test

\lim_{n \to \infty}  c_n=\lim_{n \to \infty} \frac{n+3}{n+4}

we can divide top and bottom by n

\lim_{n \to \infty}  c_n= \lim_{n \to \infty} \frac{n/n+3/n}{n/n+4/n}

\lim_{n \to \infty}  c_n= \lim_{n \to \infty} \frac{1+3/n}{1+4/n}

now, we can plug n=inf

\lim_{n \to \infty}  c_n= \frac{1+0}{1+0}

\lim_{n \to \infty}  c_n=1

Since, it is non-zero value

so, this series is divergent


8 0
4 years ago
Greyhounds can reach speeds of 20.1 meters per second. Which conversion factor can be used to find this speed in meters per minu
kicyunya [14]

Answer:

Step-by-step explanation:

20.1metres / seconds

We want to convert to metres /minutes

It is known that 60seconds=1minutes

So therefore, either we multiply 20.1metres/seconds by

60seconds/1minutes

Or

1minutes/60seconds

Multiplying with the above does not change the magnitude of the quantity because it is like we are multiplying by 1.

Since we want to cancel seconds and it is in the denominator, so to do this we need to multiply with the fraction that has the seconds as numerator.

So, we are going to multiply with 60seconds/1minutes

20.1metres/seconds ×60seconds/minutes

1206metres/minutes.

So the correct fraction is the StartFraction 60 seconds Over 1 minute, which is the third option

7 0
3 years ago
Read 2 more answers
uincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution, in simplest radica
Verdich [7]

Answer: according to spark notes: There can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 - 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.

In this case it is 0, not 2, which was my first and wrong answer





3 0
3 years ago
Read 2 more answers
If the hikers want to share the fruit evenly , how many Leicester should each person receive?
sveticcg [70]
An even amount each 
EXAMLEE;there are 4 potatoes and 2 people they want to split it evenly so 4potatoes/2people
4 divided by 2
they both get 2 potatoes.
stupid example but hope it helps



6 0
3 years ago
Solve this using substitution:<br> 5x-y=-3<br> 6x+y=3
Marta_Voda [28]

Answer:

x=0.y=3

Step-by-step explanation:

5x-y=-3

y=5x+3

sub y=5x+3 into 6x+y=3,

6x+5x+3=3

11x=0

x=0

6(0)+y=3

y=3

3 0
3 years ago
Read 2 more answers
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