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2 years ago

What is the sum of an 8-term geometric series if the first term is -11, the last term is 859,375, and the common ratio is -5?

1 answer:

3 0

Formula of the sum of the 1st nth term in a Geometric Progression:

Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)

Sum = (-11)[1-(-5⁸)] /[(1-(-5)]

Sum = (-11)(1- 390625)/(6)

SUM = 716,144

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ale4655 [162]

Answer:

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Second one $18.60

Step-by-step explanation:

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2 years ago

Use the diagram to fill in the blanks<br> x=<br> m∠=

faust18 [17]

Answer:

x = 21, m∠A = 23°, the measure of angle in the right = 67°

Step-by-step explanation:

The angles of a triangle sum up to 180°.

Right angles equals to 90°.

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=> 5x + 75 = 180

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2 years ago

Each of the c children at a park will receive at least 3 balloons. If 150 balloons are given out in all, what is the maximum num

Marizza181 [45]

Answer:

Step-by-step explanation:

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2 years ago

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Marcy makes 15 of 20 free throws at basketball practice. What is the probability that she will miss her free throw? Possible ans

arlik [135]

Answer:

3/4

Step-by-step explanation:

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2 years ago

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Find a number such that 10 less than two thirds the number is one fourth the number

Ivan

Answer:

the number is 24

Step-by-step explanation:

10 less than two thirds the number is one fourth the number

Let the unknown number be x

two third of the number is $\frac{2}{3} x$

10 less than two third the number becomes

$\frac{2}{3}x-10$

one fourth the number becomes $\frac{1}{4}x$

10 less than two thirds the number is one fourth the number

$\frac{2}{3}x-10=\frac{1}{4}x$

We need to solve for x

LCD is 3*4 = 12

Multiply the whole equation by 12

$\frac{2*12}{3}x-10*12=\frac{1*12}{4}x$

8x - 120 = 3x

add 120 on both sides

8x = 3x + 120

Subtract 3x on both sides

5x = 120

divide by 5 on both sides

x= 24

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3 years ago