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
0.144 because the number after 3 is 5 and that rounds the 3 to a 4.
Answer:
$3063.6
Step-by-step explanation:
72% of $4,255 = $3063.6
The formula for finding percents is number x percent ÷ 100.
4,255 x 72 ÷ 100 = 3063.6
F x (x + h) - fx/h
fx +fh - fx /h
fh/h
f
So f is the answer
Answer:
-2x + 5 = -4k
Step-by-step explanation: