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
Lets do this:-
A. 7 Sandwiches
18 - 7 = 11
7 × $7.75 = $54.25
7 sandwiches cost $54.25.
11 × $4.50 = $49.50
11 soups costs $49.50
49.50 + 54.25 = 103.75
A is not d answer cuz d total of d lunches came to $113.50.
B. 8 sandwiches
18 - 8 = 10
8 × $7.75 = $62
8 sandwiches cost $62.
10 × $4.50 = 45
8 soups costs $45
62 + 45 = 107
B is not d answer cuz d total of d lunches came to $113.50.
C. 9 Sandwiches.
18 - 9 = 9
9 × $7.75 = 69.75
9 sandwiches cost $69.
9 × $4.50 = 40.50
9 soups costs $40.50
69 + 40.50 = 109.5
C is not d answer cuz d total of d lunches came to $113.50.
D. 10 Sandwiches
18 - 10 = 8
10 × $7.75 = $77.75
10 sandwiches cost $77.75.
8 × $4.50 = $36
8 soups costs $36.
77.75 + 36 = <span>113.75
</span>D is not d answer cuz d total of d lunches came to $113.50.
So, based on your answer choices there is no correct choice. <span />
Answer:
5/6
Step-by-step explanation:
<h2><u>
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Answer: 70ft
Step-by-step explanation:
ht= (-3)^2 + 15(3) + 16
ht= 9 + 45 + 16
ht= 70
