Answer:28
Step-by-step explanation:
Julio's number is x
(X-13)*-3=-45
Divide by -3
X-13=15
Add13 to both sides
x=28
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
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Step-by-step explanation:
Answer:
x = 35 degrees
Step-by-step explanation:
the little box on the left side of the ttriangle means that is a 90 degrees angle.
So you add 55 + 90 = 145
Then subtract 180 - 145
which gives you 35