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Vladimir79 [104]
3 years ago
7

What is the sum of the geometric sequence −4, 24, −144, … if there are 7 terms?-159,964  −26,661 26,661  159,963 

Mathematics
1 answer:
Hoochie [10]3 years ago
8 0
The common difference is multiply f(n-1) by -6 and (f)1=-4

mutiply -144 by -6, then 864 by -6, then -5184 by -6. then 31104 by -6 to get -186624

so we have -4, 24, -144, 864, -5184, 31104, -186624 as the seven terms in the geometric sequence, now we just need to add these together and getting the final answer of -159,964
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Find the slope of the line that contains the<br><br>point (4, −9) and has a y intercept of 2.
ASHA 777 [7]

Answer:

<h2>         m = -¹¹/₄</h2>

Step-by-step explanation:

The equation of a line with slope of <em>m</em> and y-intercept of <em>b</em> is: y = mx + b

b = 2 and line contains the point (4, -9), so:

-9 = m×4 + 2          {subtract 2 from both sides}

-11 = 4m                   {divide booth sides by 4

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5 0
3 years ago
TV studio has brought in 9 boy kittens and 6 girl kittens for a cat food commercial. The director is going to choose 9 of these
Amanda [17]

Answer:

probability = 0.2517

Step-by-step explanation:

given data

boy kittens = 9

girl kittens = 6

choose kittens at random = 9

solution

total kitten are = 9 + 6 = 15

first we get here total no of probability that is

n(s) = 15 C 9

n(s) = \frac{15!}{9!(15-9)!}  

n(s) =5005

and

total way to chose 5 boy kittens is = 9 C 3

n(3) = \frac{9!}{3!(9-3)!}  

n(3) =  84

and

total way to chose 4 girl kittens is = 6 C 4

n(4) = \frac{6!}{4!(6-4)!}  

n(4) = 15

so

total way to chose 5 boy kittens and 4 girl kittens is

total way = 84 ×15  = 1260

so probability that the director chooses 5 boy kittens and 4 girl kittens is

probability = \frac{1260}{5005}  

probability = 0.2517

6 0
4 years ago
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