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astraxan [27]
4 years ago
12

How do I find the sum of this series?Question D

Mathematics
1 answer:
raketka [301]4 years ago
8 0
Sum of an infinite geometric sequence with the common ratio r, and the first term a1 is \frac{a_1}{1-r}

we notice
-2 times -1/4=1/2,
1/2 times -1/4=-1/8
so a1=-2
r=-1/4 or -0.25

so the sum is
\frac{-2}{1-(-0.25)}=
\frac{-2}{1+0.25}=
\frac{-2}{1.25}=
\frac{-8}{5}=
the sum is -8/5 or -1.6
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Hunter-Best [27]

Answer:

Half

Step-by-step explanation:

by dividing in half, it shows both sides are equal/symmetric

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2 years ago
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Kobotan [32]

Answer:

Hola

Step-by-step explanation:

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3 years ago
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If a picnic area is located at the midpoint between Sacramento and Oakland, find the distance to the picnic area from the road s
Oxana [17]
First, think this through. If you are 23 miles from Sacramento, and 110 miles from Oakland (I am assuming it is miles since you didn't specify *cough cough*) then the two cities are 133 miles apart (also assuming you are in between them)
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so, we use the midpoint formula to find our position
\frac{distance}{ 2}
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Next, we already know the sign is 23 miles away from Sacramento so we can use that distance and our position to figure out how far away the sign is. We use absolute values because distance is always positive.
|our \: position - distance \: of \: sign|

so we get
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to double check, use the sign's distance from Oakland.
|66.5miles - 110miles|  = 43.5miles
so, we are 43.5 miles from the sign!

hope this helps

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