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Sergio039 [100]
4 years ago
12

Study island C https://

Mathematics
1 answer:
andrey2020 [161]4 years ago
7 0
I need help to get a hold on
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How many terms are there in a geometric series if the first term is 2, the common ratio is 4, and the sum of the series is 2,730
Furkat [3]

Answer:

n = 6

Step-by-step explanation:

Givens

r = 4

a = 2

Sum = 2730

Equation

Sum = a(1 - r^n)/(1 - r)

Solution

2730 = 2 (1 - 4^n) / (1 - 4)      Reduce the denominator

2730 = 2(1 - 4^n)/-3                Multiply both sides by -3

2730*-3 = 2(1 - 4^n)                Simplify the left

-8190 = 2(1 - 4^n)                    Divide by 2

-8190/2 = 1 - 4^n                     Simplify

-4095 = 1 - 4^n                         Subtract 1 from both sides.

-4096 =  - 4^n                            Divide by - 1

4096 = 4^n                                This looks like n is fairly large. You could use logs. Try n = 6.

4^6 does equal 4096              So your answer is 6.

=========================

Let's try it with logs. Ignore this if you don't know how to do this.

log(4096) = log(4)^n

log(4096) = n*log(4)                    Divide by log 4

log(4096)/log(4) = n

3.6124 / 0.6021  = n

n = 6

========================

The hint is very helpful. Make sure you can follow it through

6 0
3 years ago
Help plz
Readme [11.4K]

0.16%

You take  44 divide it by 275

6 0
3 years ago
The area of a rectangle is 1.7 square units. The length is 3.4 units and the width is z units.
Nostrana [21]
Area of a rectangle= lxw
1.7=3.4z
1.7/3.4= 0.5
z=0.5
4 0
3 years ago
Read 2 more answers
Complete the circles so that the sum of any three consecutive digits is 10<br><br>2000000010
crimeas [40]
Where are the circles? when asking questions please provide and the information
7 0
3 years ago
A six-sided die is rolled find P (of an even number) don't forget to reduce fraction
velikii [3]

Answer:

P(even no.) = 0.5

Step-by-step explanation:

Using the Formula of Probability = \frac{Required  outcomes}{Total possible outcomes}

Total no. of outcomes when a six sided die is rolled are: 6 (as shown below)

1, 2, 3, 4, 5, 6

Required outcomes are only even number: 3 (as shown below)

2, 4, 6


Thus P(even no.) = \frac{3}{6} = \frac{1}{2} = 0.5


7 0
3 years ago
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