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Oduvanchick [21]
3 years ago
9

Evaluate the geometric series below. Please show your work.

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

-1310715

Step-by-step explanation:

By the formula of a geometric sequence, we work out:

\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715

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5x + 7y = 25<br> 5x - 2y = -65<br> solve using elimination<br> (step by step please)
aliina [53]

5x+7y=25

5x-2y=-65

subtract both of the equations

5x-5x=0

7y--2y= 7y+2y=9y

25--65=25+65=90

0+9y=90

9y=90

divide both sides by 9 to get y by itself

9y/9=90/9

cross out 9 and 9 which becomes 1*1*y=y

90/9=10

y=10

find x by using the substitution method

5x+7y=25

5x+7(10)=25

5x+70=25

move +70 to the other side

sign changes from +70 to -70

5x+70-70=25-70

5x=-45

divide both sides by 5 to get x by itself

5x/5=-45/5

cross out 5 and 5 then becomes 1*1*x=x

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x=-9

answer:

(-9,10)

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3 years ago
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Answer:

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Step-by-step explanation:

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Solve for d<br> s = n /2 [ 2 a + ( n − 1 ) d ]
ludmilkaskok [199]

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