A patient requires a 30% decrease in the dosage of his meds. His current dose is 340 mg. What will his dosage be after the decre
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we conclude that the sequence has 8 terms.
<h3>How to get the number of terms in the sequence?</h3>
Here we have the geometric sequence:
2/81, 4/27, 8/9, ..., 6912
Notice that each term is equal to 6 times the previous term, such that:
2/81*6 = 4/27
4/27*6 = 8/9
Then the n-th term is equal to:
Where in this case:
Now we need to find the value of n such that:
If we apply the natural logarithm to both sides, then:
Then we conclude that the sequence has 8 terms.
If you want to learn more about geometric sequences:
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Answer:
They are similar by a factor of 14
Step-by-step explanation:
From the general equation of a parabola opening up (since the directrix is on the y axis and the focus is upwards this line) the focus coordinates are:
So h=0 and k+p=2, for the directrix:
solving k and p from the two equations above:
So for Parabola 1 the equation would be:
For Parabola 2 the general equation is:
here h=0, k=0, p=3/2 so focus is (0,3/2), directix is y=-3/2, they have the same orientation.
they are not congruent. For them to be similar it must comply:
replacing and solving for k:
They are similar by a factor of 14