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
9514 1404 393
Answer:
4π m
Step-by-step explanation:
The area is given by ...
A = πr²
Then the radius is ...
r = √(A/π) = √(4π/π) = 2 . . . . meters
The circumference is ...
C = 2πr
C = 2π(2 m) = 4π m
The circumference of the circle is 4π meters.
Answer:
1,458,783,255,601
Step-by-step explanation:
(-1,099)^2
Break it apart:
(-1,099)*(-1,099)
Multiply the signs and numbers:
Two negatives make a positive so you are left with just 1,207,801.
Next, you square 1,207,801:
(1,207,801)*(1,207,801)
And you get the number 1,458,783,255,601
A) 3, 8, 15, 24 is correct.
Letting x be the term number (position in the sequence), for the first term, we have:
2(1) + 1^2 = 2+1 = 3
For the second term:
2(2) + 2^2 = 4+4 = 8
Third term:
2(3) + 3^2 = 6+9 = 15
Fourth term:
2(4) + 4^2 = 8+16 = 24
308 is 88% of 350.
Divide 308 by 350, then multiply what you got to 100 to get the answer.
