Answer:
y=15x
Assuming he is mowing at a constant rate it would be 15 square feet per minute.
Step-by-step explanation:
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is
Multiply both sides by r :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for :
Then as gets arbitrarily large, the term will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Answer:
Scientist
Step-by-step explanation:
I'm not sure if right but doesn't science fiction goes with science? So maybe Scientist could be in it. Correct me if i'm wrong.
Answer:
-5
Step-by-step explanation:
Geometric sequences have common ratios.
You can see if a sequence is geometric by computing:
.
If you get the same result per consecutive pair, then there is a common ratio and the sequence is geometric.
Let's see:
So if this equations holds (if all 3 fractions equal the same thing), then is geometric and we have also have computed the common ratio.
The first fraction results in -250/50=-5.
The second fraction results in 50/-10=-5.
The third fraction results in -10/2=-5.
All three fractions are equal and so the equation holds so it is geometric and the common ratio is -5.
Answer:-2-1
Step-by-step explanation:
