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Dimas [21]
3 years ago
13

Write the sum using summation notation, assuming the suggested pattern continues. 2 - 8 + 32 - 128 + ...

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0
This is a geometric series with first term 2 and common ratio -4. The general term of such a series (an) in terms of the first term (a1) and common rato (r) is written as
  an = a1*r^(n-1)

The sum is the sum of such terms.
sum=\sum\limits_{n=1}^{\infty}{2(-4)^{(n-1)}}
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Sue has $2.20 in dimes and nickels. If she has 13 more dimes than nickels, how many of each coin does she have?
dem82 [27]
10d+5n=220
divide both sides by 5
2d+n=44

d=13+n
sub 13+n for d in other equatin

2(13+n)+n=44
26+2n+n=44
26+3n=44
minus 26 both sides
3n=18
divide both sides by 3
n=6
sub back

d=13+n
d=13+6
d=19


19 dimes
6 nickles
4 0
3 years ago
I need help with this (Image Attached)
NemiM [27]

Answer:

55,98,27

Step-by-step explanation:

To solve for the angles we must first find y with this equation

3y+5+2y-7=153

We can simplify this

5y-2=153

153+2=155

155/5=31

y=31

We now know y and can plug it into the angles

<A=2y-7

2(31)-7

62-7

55

<A=55

<B=3y+5

3(31)+5

93+5

98

<B=98

Now time for the last angle

Since angle BCA and DCB are next to each other they add up to 180

153+x=180

180-153=27

x=27

<BCA=27

4 0
3 years ago
The cost C (in dollars) of making n watches is represented by C = 15n + 85 .
AURORKA [14]
So the answer should be 48.58 if not then it could be 278n
5 0
3 years ago
I need help asap!! thank you, your help is really appreciated
hoa [83]
It’s the first one

3(6)-1/2(6)+1
7 0
3 years ago
You will write a 5-paragraph essay explaining how you would solve the following equation:
sattari [20]

Answer:

x=0

Step-by-step explanation:

\frac{7}{3}(2x+3)+\frac{3}{4}(\frac{x}{5}-\frac{15}{2})=\frac{11}{8} <-- Given

\frac{14}{3}x+7+\frac{3}{20}x-\frac{45}{8}=\frac{11}{8} <-- Distributive Property

\frac{280}{60}x+7+\frac{9}{60}x-\frac{45}{8}=\frac{11}{8} <-- Find LCD of x-terms

\frac{289}{60}x+7-\frac{45}{8}=\frac{11}{8} <-- Combine Like Terms

\frac{289}{60}x+7=\frac{56}{8} <-- Add 45/8 to both sides

\frac{289}{60}x+7}=7 <-- Simplify Right Side

\frac{289}{60}x=0 <-- Subtract 7 on both sides

x=0 <-- Divide both sides by 289/60

3 0
2 years ago
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