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:
The slope of the line is
.
Step-by-step explanation:
We are given two coordinate points:
We are asked to find the slope of the line.
We can use the rise-over-run formula to solve for the slope of the line.

However, we firstly need to name our coordinate points.
In math, we can label our coordinates using the following label system:

Therefore, we can also label our coordinates as such:
Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.

Therefore, our slope is
.
Answer: rational
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction. Hence 1-3.45 = - 2.45 which is - 49/20 as a fraction
The previous person is correct. It’s 32x6 = 192 cm.
Answer:
x = 6
Step-by-step explanation: