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Elza [17]
2 years ago
14

If the first 4 terms of an infinite geometric sequence are 150, 120, 96, and 76.8, then the sum of all the terms in the sequence

is​
Mathematics
1 answer:
hammer [34]2 years ago
4 0

The sum of the sequence is 750

<h3>How to determine the sum of the series?</h3>

The series is given as:

150, 120, 96, and 76.8,

Start by calculating the common ratio using:

r = T2/T1

This gives

r = 120/150

r = 0.8

The sum of the series is then calculated as:

S = \frac{a}{1 - r}

This gives

S = \frac{150}{1 - 0.8}

Evaluate

S = 750

Hence, the sum of the sequence is 750

Read more about sequence at:

brainly.com/question/6561461

#SPJ1

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Oscar is buying soil for his plants. he needs to fill one pot with 8 cups of soil and another pot with 3 gallons of soil. if the
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Answer:

Total dollars = 35 dollars.

Step-by-step explanation:

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Find the measure of the remote exterior angle. m∠x=(198−5n)°m∠y=(5n+37)°m∠z=(n+7)°
MrMuchimi

The value of the angle ∠x will be ∠x = 128°. Then the correct option is C.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle is given below.

The sum of the two interior angle is equal to the third exterior angle.

m∠x = (198 − 5n)°

m∠y = (5n + 37)°

m∠z = (n + 7)°

We know that

∠x = ∠y + ∠z

198 - 5n = 5n + 37 + n + 7

       11n = 154

          n = 14

Then the value of the angle ∠x will be

∠x = 198 – 5 × 14

∠x = 128°

Then the correct option is C.

The complete question is given below.

More about the triangle link is given below.

brainly.com/question/25813512

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2 years ago
Carlos biked 24 miles and ran 6 miles. Write the ratio of the distance Carlos biked to the total distance
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18 miles run


Step-by-step explanation:


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