20 minute deadline. right answers only.
1 answer:
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Answer:
See below.
Step-by-step explanation:
4)
So we have the expression:
We can use the power of a product property, where:
So:
For the left, -6 squared is the same as -6 times -6. This equals positive 36.
For the right, we can use the power of a power property. The property says that:
So:
So, all together, we have:
6)
We have the expression:
First, note that anything to the zeroth power (except for 0) is 1, thus, x^0 is also 1. Simplify:
And that's the simplest we can do :)
Notes for 6)
We <em>can</em> put the x^4 to the numerator. Recall that when you put an exponent to opposite side, you put a negative. In other words:
And vice versa:
So, we can write the above as:
However, traditionally, we want only positive exponents, so this wouldn't be correct.
Given:
The sequence is:
2, 6, 10, 15,...
To find:
Whether the given sequence is Arithmetic, Geometric, Neither.
Solution:
We have,
2, 6, 10, 15,...
Different between consecutive terms are:
Since , therefore the given sequence has no common difference. It means it is not an arithmetic sequence.
Ratio of consecutive terms are:
Since , therefore the given sequence has no common ratio. It means it is not a geometric sequence.
Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.