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MakcuM [25]
3 years ago
7

middle" class="latex-formula">
Mathematics
1 answer:
gavmur [86]3 years ago
3 0
X=8 is the correct answer
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What is the sum of the first 7 terms of the geometric series:<br><br> -8 + (-4) + (-2) + 1 + 1/2+...
s2008m [1.1K]
a_1=-8;\ a_2=-4;\ r=a_2:a_1\to r=-4:(-8)=\dfrac{1}{2};\ n=7\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\subtitute:\\\\S_7=\dfrac{-8\left[1-\left(\dfrac{1}{2}\right)^7\right]}{1-\dfrac{1}{2}}=\dfrac{-8\left(1-\dfrac{1}{128}\right)}{\dfrac{1}{2}}\\\\=\dfrac{-8\cdot\dfrac{127}{128}}{\dfrac{1}{2}}=-\dfrac{127}{16}\cdot\dfrac{2}{1}=-\dfrac{127}{8}=-15\dfrac{7}{8}
4 0
4 years ago
Is this increasing, decreasing, or constant? -4
bixtya [17]
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5 0
3 years ago
Carly is making 3 1/2 batches of biscuits. If one batch calls for 2 1/3 cups of floor, how much flour will she need?
Papessa [141]
In this question, Carly needs to make 3.5 batches of biscuit and one batch equal to 2 1/3 cups of flour. Then you will get an equation look like this:

1 batch of biscuit= 2 1/3 cups of flour

Then 3.5 batches of cookies would be:
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3 0
3 years ago
2x + 3y = 15 and x - 3y = 3 What's the ordered pair
Ganezh [65]

Answer:

x = 6

y = 1

Step-by-step explanation:

to solve this system of equation we say let

2x + 3y = 15 .......................... equation 1

x - 3y = 3.................................. equation 2

from equation 2

x - 3y = 3.................................. equation 2

x = 3 + 3y.................................... equation3

substitute for x in equation 1

2x + 3y = 15 .......................... equation 1

2(3+3y) + 3y = 15

6 + 6y + 3y = 15

9y = 15 -6 ................................... combining the like terms

9y = 9

divide both sides by the coefficient of y

9y/9 = 9/9

y =1

put y = 1 in equation 3

x = 3 + 3y.................................... equation3

x = 3 + 3(1)

x = 3 +3

x = 6

therefore the value of  x is 6 and y is 1 respectively

4 0
4 years ago
If you have three friends, how many ways can you introduce them to someone
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He answer is 3! ways...want to SEE ?? 

<span>your friends are A, B, and C </span>



<span>A, B, C </span>
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<span>B, A, C </span>
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<span>C, A, B </span>
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6 0
4 years ago
Read 2 more answers
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