Because if the common ratio less than 1, then each term is smaller than the previous term. eventually, it will be so small that it basically equals 0 and the next terms are nigligible
it's like this. say you are on one side of a playground
you walk half the distance across,
you then walk half of the disatnce you just walked
you then walk half of the disatnce you just walked
etc
you will never reach the other side because each distance you take is smaller thatn the previous, eventaull the distance will be so small you won't be moving much
Answer:
1076
Step-by-step explanation:
I looked it up
Hello!
To find the line that is perpendicular to y = 3x - 2 and passes through the ordered pair (6, 8), we will:
- Find the negative reciprocal using the slope of the given function
- Substitute the given ordered pair into the new equation with the slope found in step 1
Let's remind ourselves of slope-intercept formula. Slope-intercept formula is y = mx + b, where m is the slope, and b is the y-intercept.
In the given equation, we know that 3 is slope. With that, we can find the negative reciprocal of that slope, and continue to step #2.
To find the reciprocal, we will need to flip our fraction. In this case, 3/1 = 3, so once we flip it, it is 1/3. Since it is the negative reciprocal, the fraction is a negative, so the negative reciprocal is -1/3.
Now, we will substitute the ordered pair into the slope-intercept formula with our new slope.
y = -1/3x + b (6, 8)
8 = -1/3(6) + b
8 = -2 + b (add 2 to both sides)
10 = b
Therefore, the equation of the line is y = -1/3x + 10.
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