Answer:
b1 = 2 ; r = 3
Step-by-step explanation:
Given that :
if b3 −b1 = 16 and b5 −b3 = 144.
For a geometric series :
Ist term = a
Second term = ar
3rd term = ar^2
4th term = ar^3
5th term = ar^4 ;...
If b3 - b1 = 16;
ar^2 - a = 16
a(r^2 - 1) = 16 - - - (1)
b5 - b3 = 144
ar^4 - ar^2 = 144
ar^2(r^2 - 1) = 144 - - - - (2)
Divide (1) by (2)
a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144
a / ar^2 = 1 / 9
ar^2 = 9a
Substitute for a in ar^2 - a = 16
9a - a = 16
8a = 16
a = 2
From ar^2 - a = 16
2r^2 - 2 = 16
2r^2 = 16 + 2
2r^2 = 18
r^2 = 18 / 2
r^2 = 9
r = √9
r = 3
Hence ;
a = b1 = 2 ; r = 3
Answer:
B. 6358.5 square centimeters. This is right.
Answer:
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Answer:
10.75
Step-by-step explanation:
First you see how many times 4 can go into 4 in the tens place which is 1 .You multiply 4 times 1and you get 4 .Then you minus 4 from 4 and get
Then you bring down the 3 and see how many times 4 can go into 3 which is 0 .So you put a decimal point and bring down a 0.
See how many times 4 can go into 30,which will be 7 times.After , you multiply 7 times 4 and you get 28.Subtract 29 from 30 and you get 20.You bring down the 0 .
See how many times 4 can go into 20 which is 5.Mutiply 5 times 4 and get 20 then subtract 20 from 20.
Get a final quotient of 10.75.
<h2>Repeating Decimal to Fraction</h2>
Note: "..." is the repeating sign I'm using.
Answer: 2/9
<h3>
Steps</h3>
Let X equal the decimal number
Equation 1:
X = 0.2...
With 1 digit in the repeating decimal group,
create a second equation by multiplying
both sides by 10
X * 10 = 10X and 0.2...* 10 = 2.2...
Equation 2:
10X = 2.2...
Subtract equation 1 from equation 2
10X = 2.2... - X = 0.2...
We get
9X = 2
In conclusion, 0.2... = 2/9
<h2>Repeating Decimal to Mixed Number</h2>
This decimal cannot be a mixed number because it has no number in the one's, ten's, or hundred's place.
