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 <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
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:
C
Step-by-step explanation:
To find the percent of adults who use toothpaste, we divide the number of adults who use toothpaste by the total adults.
0.08/0.75
The answer is about 11 percent, so C is the true statement.
The rule for the linear graph is y=mx
Answer:
give me a minute... if i dont find an answer i will delete my comment
Step-by-step explanation:
Answer:
Question 2:
If the size of bacteria is 2000 initially and doubles after every half hour
It means in the 1st 30 min its size is 2000
And in 60 min its
30min=2000
60min=?
60×2000=120000
120000÷30
=4000
And in 9hrs
1hr=60min
9hrs=?
60×9=540min
30min=2000
540min=?
2000×540
=1080000÷30
=360000
