10) please help I don't understand this question at all

Mathematics

1 answer:

malfutka [58]3 years ago

3 0

We can determine this to be a Geometric Sequence with:

a = 2
r = 1/2
an = ?

We must first find an. We know that an = 1/256, therefore we can use this formula to discover an:

an = a * r^n-1
1/256 = 2 * 1/2^n-1
<span>1/256 / 2 = 1/2^n-1
</span>1/512 = 1/2^n-1
<span>log(1/512) = log(1/2^n-1)
</span>9 = n - 1
10 = n

Therefore, we know an = 10

Now we input it into this equation and solve:

Sn = a(1-r^n/1-<span>r)
</span>Sn = 2(1-1/2^10/1-1/2<span>)
</span>Sn = 2(1023/1024 / 1 / 2)
Sn = 2(1023/1024 * 2 / 1)
<span>Sn = 2(2046/1024)
</span><span>Sn = 2(1023/512)
</span>Sn = 1023/256
Sn = 3.992

Geez, that took awhile... xD

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Hello! Recall you need to write complete questions in order to find exact answers. So in this problem I'll assume the question is:

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<em />

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