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:
22.25
Step-by-step explanation:
1302-1124/2016-2008
Answer:
30
Step-by-step explanation:
i promise this is the answer i go to k12 and got the answer correct
Answer:
140
Step-by-step explanation:
Answer:
2 miles = 3,520 yards
first we need to find how many yards she's walked already :
400×5=2,000 yards
now subtract :
3,520-2,000= 1,520 yards
Keisha needs to walk 1,520 more yards to complete 2 miles
hope this helped
Step-by-step explanation: