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Savatey [412]
3 years ago
8

Which geometric series diverges?

Mathematics
2 answers:
alina1380 [7]3 years ago
6 0

Answer:

If |r| >= 1 then the above geometric series diverges. If the above series converges, then the remainder RN = S - SN (where S is the exact sum of the infinite series and SN is the sum of the first N terms of the series) is bounded by 0< = RN <= (N.. ) f(x) dx.

Step-by-step explanation:

kupik [55]3 years ago
5 0

Answer:

is divergent if and only if | r | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that agrees with the formula for the convergent case

Step-by-step explanation:

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8(x + 30) + 5<br> A <br> x + 35<br> B <br> 8x + 35<br> C <br> 8x + 240<br> D <br> 8x + 245
Anon25 [30]

Answer:

D

Step-by-step explanation:

First, remove parenthesis:

8(x + 30) = 8*x + 8*30 = 8x + 240

Then, add the 5 at the end:

8x + 240 + 5 = 8x + 245

6 0
3 years ago
Read 2 more answers
Sandra wants to buy a new mp3 player that is on sale for $95 she has saved $73 how much more money does she need
Schach [20]

Answer:

For Sandra to save up and purchase the mp3 she must save additional $22.

Step-by-step explanation:

This problem requires us to understand the concerns of deficit/balance

Step one

We were told that mp3 cost $95

And Sandra has saved $73

Hence for her to purchase the mp3 she has to save up to $95 which is the benchmark price for the item

Step two :

Hence the amount of money to balance up is

=Cost of mp3- Sandra's savings

= $95-$73

=$22

5 0
3 years ago
Read 2 more answers
Solve the following inequality 3y + 5 &lt; 10
Alina [70]

Step-by-step explanation:

3y+5<10

3y<10-5

3y<5

y<⅗

8 0
3 years ago
Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -\frac{3}{4}x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(-\frac{3}{4}.x + 3)

A = -\frac{3}{4}.x^{2}  + 3x

To maximize, we have to differentiate the equation:

\frac{dA}{dx} = \frac{d}{dx}(-\frac{3}{4}.x^{2}  + 3x)

\frac{dA}{dx} = -3x + 3

The critical point is:

\frac{dA}{dx} = 0

-3x + 3 = 0

x = 1

Substituing:

y = -\frac{3}{4}x + 3

y = -\frac{3}{4}.1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

6 0
3 years ago
The zoo charges $4 admission fee
Andrews [41]

Answer:

Intial Value; $4 (charged)

Rate of change: $2 every exhibit visited

Admission: $4

1 exhibit visited: $6

2 exhibits visited: $8

3 exhibits visited: $10

4 exhibits visited: $12

5 exhibits visited: $14

6 exhibits visited: $16

7 exhibits visited: $18

8 exhibits visited: $20

etc.

Step-by-step explanation:

4+2x = C

C= Cost

X = amount of exhibits visited

To find the total cost.

5 0
3 years ago
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