Determine whether the sequence converges or diverges. if it converges give the limit. 48, 12, 3, 3/4, ...

Answers

Answer 1

Answer: The sequence converges.
The limit of the sequence is 0.

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This is a geometric sequence with the first term a = 48 and r = 1/4 = 0.25 as the common ratio. Since |r| < 1, this means that the terms are steadily getting smaller and smaller. The terms will approach 0 but not actually get there.

Note: if you added up all the terms of this infinite sequence, then the sum would be S = a/(1-r) = 48/(1-0.25) = 64

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Which of the following is 16 60 in simplest form

Answers

There are no options given, but I will give you the exact answer of 16/60 simplified.

$(16)/(60) \n \n GCF = 4 \n \n 16 / 4 = 4 \n \n 60 / 4 = 15 \n \n (4)/(15) \n \n Answer: \fbox {4/15} \ or \ \fbox {0.2667}$

$(16)/(60) = (4* 4)/(4* 15) = \boxed{\bf{(4)/(15) }}$

Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.A. y = one divided by twenty eightx2
B. x = one divided by twenty eighty2
C. -28y = x2
D. y2 = 14x

Answers

I think the best answer among the choices is B. x = one divided by twenty eighty2, hope that helps you

Find all the powers of 4 in the range 4 through 1,000.

Answers

4^1 = 4
4^2 = 16
4^3 = 64
4^4 = 256

ListenWhich statement has x = 2 as its solution?
3x - 12 = 17
7(x + 1) = 14
1- 6x = -11
4x + 5 = 3

Answers

Answer: 1 - 6x = -11

Step-by-step explanation:

For each expression, substitute x for 2 to determine which is the correct expression:

3x - 12 = 17
3(2) - 12 = 17
6 - 12 = 17
-6 $\neq$ 17
Because the number on the left side of the equation doesn't equal the number on the right, this first equation is incorrect.

7(x + 1) = 14
7(2 + 1) = 14
7(3) = 14
21 $\neq$ 14
This second equation is incorrect as well.

1 - 6x = -11
1 - 6(2) = -11
1 - 12 = -11
-11 = -11
Because the number on the left equals the number on the right, the third equation is correct.

I hope this helps! :)

Solve for x algebraically: 7-3(4x-8)<6x+12-9x

Answers

7-3(4x-8)<6x+12-9x
7-12x+24<6x+12-9x
-12x-6x+9x<12-7-24
-9x<-19
-x<-19/9
x>19/9

Answer: x>19/9 or (19/9 , +∞)

a salesperson receives a 2.5% commission on sales. what commission does the salesperson receive for $8000 in sales?

Answers

The sales person receives a $200 sales commission. To get the answer, you would convert the percentage to a decimal, in this case... 2.5%, would become 0.025. You would then multiply 0.025•8000 to get your answer of $200. Which means in total, the salesperson would receive $8200.

Answer:

The answer would be 200

Step-by-step explanation:

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