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This problem is half understanding the question and half just plugging in numbers.
Understanding the Question:
So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.
Now try plugging any number n into the
equation. Let's use 2 to make it simple. If you plug in 2, you get:
Remember that the subscripts (the small numbers in the corner) are simply the term number.
is term 1, 
is term 2, etc. The equation is saying that "term 2 = 4 times term 1."
If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.
Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1, = 6. That makes the next four terms:
Term 2
Term 3
Term 4
Your first 4 terms are 4, 24, 96, and 384.
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Answer: A) F
Understanding the Question:
So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.
Now try plugging any number n into the
Remember that the subscripts (the small numbers in the corner) are simply the term number.
If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.
Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1,
Term 2
Term 3
Term 4
Your first 4 terms are 4, 24, 96, and 384.
--------
Answer: A) F
Answer:
<em>The area of the triangle DEF is 10.</em>
Step-by-step explanation:
<u>Area of a Triangle:</u>
A triangle of base B and height H (both must be perpendicular) has an area of:
The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:
The area of the triangle DEF is 10.
No. We claim that 
and use algebra to prove the statement.
Let
. Multiply this by ten to get 
. Subtract the initial equation to give 
and divide by 
to see that 
. Substituting into the original equation gives , proving the desired statement.
Let