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
The answer to this problem is x - 17.
Answer:
the answer is this
Step-by-step explanation:
To calculate the break-even point in units use the formula: Break-Even point (units) = Fixed Costs ÷ (Sales price per unit – Variable costs per unit) or in sales dollars using the formula: Break-Even point (sales dollars) = Fixed Costs ÷ Contribution Margin
Answer:
20 is correct answer
Step-by-step explanation:
8+3×4
=8+12
=20
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hope it helped you:)
thanks!
Answer: n=0 or n=2
Step-by-step explanation: Step 1: Subtract 2n from both sides.
n²−2n=2n−2n
n²−2n=0
Step 2: Factor left side of equation.
n(n−2)=0
Step 3: Set factors equal to 0.
n=0 or n−2=0
n=0 or n=2
