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1 answer:
5. 3, 12, 48, 192, 768, ...
You can find the 15th term by using the formula
, where 
is the first term of the sequence, r is the common ratio, and n is the number of the term you want to find.
<span> Plug in your information (the common ration is x4)
</span>
Simplify the exponent
Multiply
The 15th term of the sequence is <span>805306368.
6. 200, 40, 8, 1.6, ...
Using guess and check, I found that the pattern here is </span>÷5, ÷5, ÷5, .... That can also be written as ×
, ×, <span>×, ... When you are multiplying the terms of a sequence, that is a geometric sequence.
</span>
You can find the 15th term by using the formula
<span>
</span>
The 15th term of the sequence is <span>805306368.
6. 200, 40, 8, 1.6, ...
Using guess and check, I found that the pattern here is </span>÷5, ÷5, ÷5, .... That can also be written as ×
</span>
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Answer:
Step-by-step explanation:
tan is defined as:
sin is defined as:
cos is defined as:
We can also define tan as:
because plugging in the definitions of sin and cos in we get:
which you'll notice is the original definition of tan(x)
So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)
plugging in sin(x) and cos(x) we get:
We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.
We can do this by multiplying the fraction by: which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator
There is no attached picture, but I guess it is like the one I attached.
If so, the first thing is finding the side measure:
Now, radius is half this measure: 15 in.
And circle area is:
If so, the first thing is finding the side measure:
Now, radius is half this measure: 15 in.
And circle area is: