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
It’s C because the y-intercept is where the point intersects on the y-axis and the slope goes up one and over 2 to the left making it negative
<span>The problem says that the distance D to the horizon is directly proportional to the square root of the elevation E of the observer, so:
</span>
The person who is 36 feet above the water ⇒ √36=6
A person 49 feet above the water ⇒ √49=7
<span>
So, by proportions, you have:
(7/6)x7.4= 8.63 miles
Therefore, the answer is: </span><span>a person 49 feet above the water can see 8.63 miles</span><span> </span>
Answer:
itds the pint of the secletio
Step-by-step explanation:
