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oksian1 [2.3K]
4 years ago
13

What is the sum of the n terms of the series 4 + 12 + 36 + 108 + . . . ?

Mathematics
1 answer:
arlik [135]4 years ago
8 0
Sum of n terms of a geometric series is
Sn = a1 (r^n-1)/(r-1)
a1 = 1st term = 4
r = common ratio = 12/4 = 3
so, the sum is
Sn = 4 (3^n-1)/(3-1) = 2(3^n-1)
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Solve 4X^2+7 = 8X +4 by using the quadratic formula
Sergio [31]

Answer:

(1.5,0)

(.5,0)

Step-by-step explanation:

Quadratic formula below

We first need to move everything to one side of the equation

4x²-8x+3=0

Then plug everything in

(8±√(-8²-4*4*3))/(2*4)

(8±√16)/8

To calculate the ± we need to do when where it's adding and then negative

we have

(8+4)/8=3/2

and hten

(8-4)/8=1/2

4 0
3 years ago
Zander read 13 3/4pages in 1/4 of an hour. Sydney read 43 1/3 pages in 2/3 of an hour. At these rates, would Zander or Sydney re
kakasveta [241]

Answer:

At these rates Sydney read 10 pages per hour more than Zander.

Step-by-step explanation:

Zander read 13\frac{3}{4} pages in \frac{1}{4} of an hour.

Therefore, pages read by Zander in 1 hour = \frac{\text{Total pages read}}{\text{Total time taken}}

= \frac{13\frac{3}{4}}{\frac{1}{4}}

= \frac{55}{4}\times \frac{4}{1}

= 55 pages per hour

Sydney read 43\frac{1}{3} pages in \frac{2}{3} of an hours.

Pages read by Sydney in 1 hour = \frac{43\frac{1}{3}}{\frac{2}{3} }

= \frac{130}{3}\times \frac{3}{2}

= 65 pages per hour

Therefore, number of pages read more by Sydney as compared to Zander,

= 65 - 55

= 10 pages per hour

At these rates Sydney read 10 pages per hour more than Zander.

4 0
3 years ago
Jackie works at two different jobs so she can buy a new car. She makes $15 per hour at her first job and $12 per hour at her sec
Inessa05 [86]

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

$15x8=$120 = money earned at first job

$12x3=$36 = money earned at second job

$120+$36=$156 =total earned

7 0
2 years ago
Convert 20 miles in km
Tamiku [17]

Answer:

32.1869

Step-by-step explanation:

Formula :

for an approximate result, multiply the length value by 1.609

<u>help me by marking as brainliest....</u>

4 0
2 years ago
Which properties are present in a table that represents a logarithmic function in the form y=log8^(x) when b&gt;1 I. The y-value
IRINA_888 [86]

Answer: its C:I, III, and IV just took the test.

Step-by-step explanation:

6 0
3 years ago
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