Consider the sequence 3, -9, 27, -81, .. Find the 14th term of the sequence.
2 answers:
Answer:
<h2>-4782969</h2>Step-by-step explanation:
The pattern can be seen as just multiplying the current number by -3 and repeating for each succeeding number. By that logic, we can just conventionally keep multiplying -3 until we reach the 14th term. In this case, we get the order
and lastly
which is our 14th term.
We can also realize that the 14th term can be found as the 14th power of -3, which also results in .
You might be interested in
Hi there!
First we rearrange the sum in order to add both of the fractions first. We can rearrange because the only thing we need to do is adding.
Add the fractions.
** If you don't get this, think of this story: you lack 1/3 of an apple pie and someone gives you 2/3 of pie. How much pie do you have left?
- 1 / 3 + 2 / 3 = 1 / 3 **
Finally add 4 to our found fraction.
Therefore, the answer is 4 1/3.
First we rearrange the sum in order to add both of the fractions first. We can rearrange because the only thing we need to do is adding.
Add the fractions.
** If you don't get this, think of this story: you lack 1/3 of an apple pie and someone gives you 2/3 of pie. How much pie do you have left?
- 1 / 3 + 2 / 3 = 1 / 3 **
Finally add 4 to our found fraction.
Therefore, the answer is 4 1/3.
Answer:
12 pieces each:
Step-by-step explanation:
Given
-- first string
--- second string
Required
Determine the number of equal pieces
To do this, we first calculate the HCF of the length of both pieces
The HCF is:
<em>Hence, he can cut both strings to 12 pieces each</em>
<em></em>
<em>Recall that </em>
<em>The first string can then be cut in to 3 inches each (i.e. 36/12)</em>
<em>The first string can then be cut in to 4 inches each (i.e. 48/12)</em>