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ElenaW [278]
3 years ago
7

50,60,72 find the 8th term airthmetic and geometric sequence

Mathematics
1 answer:
Savatey [412]3 years ago
4 0

Answer:

8th term is 179.15904

Step-by-step explanation:

The sequence is geometric with a common ration = 6/5

r = 60/50 = 72/60 = 6/5

Use the formula

a_{n} = ar^{n - 1}

In your case a = 50, r = 6/5 and n = 8

a_{8} = 50(6/5)^{8 - 1} \\          = 50(6/5)^{7} \\          =  50(279936/78125)\\          =   179.15904

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Convert these decimals into fractions 0.49 and 4.542
Anuta_ua [19.1K]

Answer:

0.49 = \frac{49}{100}

4.542 = 4 \frac{542}{1,000}

Step-by-step explanation:

0.49 is equivalent to 49/100 because 0.49 represents the hundredth place.

4.542 is equivalent to 4 542/1,000 because .542 is representing the thousandths place, and the 4 is a whole number.

Hope this helps!

3 0
3 years ago
What are the solutions to the following system of equations? Select the correct answer below.
Black_prince [1.1K]
(a). 8x + y = 20, where (b). y = x2 - 2x + 4
So where y is in equation (a), substitute in the value of y in (b). 
8x + (x2 - 2x + 4) = 20
8x + (4) = 20
Get rid of the 4 on both sides (since what you do to one side, you must do to the other)
8x + 4 - 4 = 20 - 4
8x = 16
Get rid of the 8 to leave x on its own
8x ÷ 8 = 16 ÷ 8
x = 2
So now that you have x, find y but substituting in the value you just found (2) into one of the starting equations. 
8x + y = 20 where x is 2.
8(2) + y = 20
16 + y = 20
Minus 16 from both sides
y = 20 - 16 = 4
So x is 2 and y is 4
5 0
3 years ago
Read 2 more answers
Which expression is equivalent to -3(2m-1)-n?
Marta_Voda [28]

Answer:

=−6m−n+3

Step-by-step explanation:

(happy to help)

6 0
3 years ago
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate
KonstantinChe [14]

Answer:

It will take 47 hours

Step-by-step explanation:

We can have the exponential function as follows;

P = I( 1 + r)^n

if the initial value was x , the final will be 2x

The change rate is 1.5% , which is r, this is same as;

1.5/100 = 0.015

So what we want to calculate is the n attached

This will be;

2x = x ( 1 + 0.015)^n

2 = 1.015^n

ln 2 = n ln 1.015

n = ln 2/ln 1.015

n = 46.55

This is approximately 47 hours

7 0
2 years ago
Urgent please help..
Vadim26 [7]

Answer:

Step-by-step explanation:

\text{The yellow area is half of the area of the square minus the area of the circle.}\\ \\ A_s=6^2=36\\ \\ A_c=\pi r^2=\pi 3^2=9\pi \\ \\ A_y=\frac{1}{2}(36-9\pi)\approx 3.9in^2

7 0
2 years ago
Read 2 more answers
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