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 .
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Hello!
Remember that the symbols: ≤ and ≥ are graphed as a solid line. While the symbols: < and > are graphed as a dotted line.
Also, before graphing, it would be better to convert both equations to slope-intercept form.
y ≤ x + 1 is already in slope-intercept form.
y + x ≤ -1 is not written in slope-intercept form. (Slope-intercept form: y = mx + b)
y + x ≤ - 1 (subtract x from both sides)
y ≤ -x - 1
Graphing those lines, you get the graph below. You can see that Part C best represents the solution set systems of inequalities, because that is where both of the shaded lines intersect.
Answer: Part C
You know that BC is congruent to x so you need to solve for x using the ratio:
So then we need to find BC.
We know:
Therefore BC =8
Then:
So then we need to find BC.
We know:
Therefore BC =8
Then: