Find the sum of the infinite geometric series. 5 + 10/3 + 20/9 + 40/27 + Write your answer as an integer or a fraction in simplest form. ______

Calculate Total Rolls: To solve this problem, we need to determine the number of rolls of tape the electrician should order to have at least 8,000 centimeters of electrical tape. We are given that each roll contains 2,000 centimeters of tape. We will use division to find out how many rolls are needed. Calculation: 8,000 cm (total tape needed) ÷ 2,000 cm (tape per roll) = 4 rollsVerify Calculation: We check our calculation to ensure there are no mathematical errors. Since 2,000 cm goes into 8,000 cm exactly 4 times without any remainder, we can confirm that the electrician needs to order 4 rolls of tape.

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Find the sum of the infinite geometric series. $\newline$ $5 + \frac{10}{3} + \frac{20}{9} + \frac{40}{27} + \dots$ $\newline$ Write your answer as an integer or a fraction in simplest form. $\newline$ $\_\_$

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Precalculus

Find the value of an infinite geometric series

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Q. Find the sum of the infinite geometric series.

\newline

5 + \frac{10}{3} + \frac{20}{9} + \frac{40}{27} + \dots

\newline

Write your answer as an integer or a fraction in simplest form.

\newline

\_\_

Calculate Total Rolls: To solve this problem, we need to determine the number of rolls of tape the electrician should order to have at least $8,000$ centimeters of electrical tape. We are given that each roll contains $2,000$ centimeters of tape. We will use division to find out how many rolls are needed. $\newline$ Calculation: $8,000 \, \text{cm}$ (total tape needed) $\div 2,000 \, \text{cm}$ (tape per roll) $= 4$ rolls
Verify Calculation: We check our calculation to ensure there are no mathematical errors. Since $2,000\,\text{cm}$ goes into $8,000\,\text{cm}$ exactly $4$ times without any remainder, we can confirm that the electrician needs to order $4$ rolls of tape.