<u><em>Answer:</em></u>
f (5) = 7.5
<u><em>Explanation:</em></u>
<u>The function given is:</u>
f (n+1) = -0.5 f (n)
<u>We are also given that:</u>
first term is 120
<u>This means that:</u>
f (1) = 120
<u>We will get the other terms by substitution as follows:</u>
f (2) = -0.5 f (1) = -0.5(120) = -60
f (3) = -0.5 f(2) = -0.5(60) = 30
f (4) = -0.5 f(3) = -0.5(30) = -15
f (5) = -0.5 f(4) = -0.5(-15) = 7.5
Therefore, f (5) = 7.5
Hope this helps :)
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
First follow the order of operations so do the parentheses first.
30-2(7+2)-1
30-2(9)-1
Then multiplication
30-18-1
Then left to right
12-1
Then again
So your answer is 11
Hope that helps. Feel free to ask any questions.
Answer:
11. Yes this is reasonable. Because medicine is often taken in small amounts, 4 millilitres is reasonable
12. This is not reasonable. Three liters of water is a very large amount. If you drink three liters of water in one sitting you could get water poisoning.
Step-by-step explanation:
Answer
what is the question
Step-by-step explanation:
