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Nezavi [6.7K]
3 years ago
13

1) Find the 128th term for the sequence 9, 4, -1, -6, 11,...

Mathematics
1 answer:
Nikitich [7]3 years ago
5 0
To determine an nth term of an arithmetic sequence, we use the expression an = a1 + (n-1)d where a1 is the first term in the sequence, n is the number of the term in the sequence and d is the common difference. For a geometric sequence, it is expressed an = a1r^(n-1). We calculate as follows:

1. a128 = 9 + (128-1)(-5)
     a128 = -626

2. a97 = (-3)(-2)^(97-1)
    a97 = -2.377x10^29
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Find the magnitude of the vector with (-7, -5) and write the vector as the sum of unit vectors.
Lesechka [4]
The magnitude of vector (-7,-5) =
                         = \sqrt{ (-7)^{2} + (-5)^{2} } = \sqrt{74} = 8.6

<span>vector as the sum of unit vectors = -7 i - 5 j</span>
4 0
2 years ago
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What three consecutive even integers have a sum of 78
Airida [17]

Answer:

24,26,28

Step-by-step explanation:

78 divided by 3 is 26, which means that 26 is the middle number and the next even number that is lower and bigger are the other two integers. You divide it by 3 because it's 3 consecutive even intergers

8 0
2 years ago
What is the distance in units from (2, -12) to (-11, -12)<br> 20 POINTSSS <br> HURRY PLEASEEEE
sweet [91]

Answer:

d= (-11-2)^2 + (-12--12)^2

d= (-13)^2 + (0)^2

d=169

square root the 169

answer is 13

that's the distance from (2, -12) (-11, -12)

hope that helps

Step-by-step explanation:

3 0
3 years ago
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This last one I need help on too
ExtremeBDS [4]

Answer:

x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}

Step-by-step explanation:

simplify \frac{-3}{x-2} by putting the negative sign on the outside. \frac{2x}{x-1}-\frac{2x-5}{x^2-3x+2}=-\frac{3}{x-2}

find the LCM of the denominators. It is (x-1)(x-2). Multiply by the LCM:

\frac{2x}{x-1}\left(x-1\right)\left(x-2\right)-\frac{2x-5}{x^2-3x+2}\left(x-1\right)\left(x-2\right)=-\frac{3}{x-2}\left(x-1\right)\left(x-2\right)

Simplify:

2x\left(x-2\right)-\left(2x-5\right)=-3\left(x-1\right)

solve: x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}

3 0
3 years ago
Please answer NO LINKS
777dan777 [17]

Answer:

try 2640 if thats not it then i did my math wrong

Step-by-step explanation:

3 0
2 years ago
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