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Here we get the statement:
"sec^-1(0.5) is undefined"
And we want to see if this is true or false, so let's use the properties that we know to find that this is false.
Remember that the sec function is defined as:
Then we will have:
Then is really trivial to see that:
Then we can conclude that the function is not undefined at 0.5, so the statement is false.
Below you can see the graph of the given function, and you will see that it is never undefined.
If you want to learn more, you can read:
Answer:
<em>The common ratio of the geometric sequence is -4</em>
Step-by-step explanation:
<u>Geometric Sequence</u>
A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:
Where r is the common ratio.
We are given three terms of a geometric sequence:
18,-72,288,...
To find the common ratio, just divide each term by the previous term:
Make sure it's a fixed number and test with the third term:
Since both numbers coincide, the common ratio of the geometric sequence is -4