Find the sum of the infinite geometric series. 2 + 2/5 + 2/25 + 2/125 + 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 do this by dividing the total amount of tape needed by the amount of tape on each roll. Calculation: 8,000 cm (total tape needed) ÷ 2,000 cm (tape per roll) = 4 rollsDetermine Rolls Needed: Since the electrician needs 8,000 centimeters of tape and each roll contains 2,000 centimeters, we divide the total amount needed by the amount per roll to find the number of rolls needed. Calculation: 8,000 cm ÷ 2,000 cm = 4

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Find the sum of the infinite geometric series. $\newline$ $2 + \frac{2}{5} + \frac{2}{25} + \frac{2}{125} + \dots$ $\newline$ 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

2 + \frac{2}{5} + \frac{2}{25} + \frac{2}{125} + \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 do this by dividing the total amount of tape needed by the amount of tape on each roll. $\newline$ Calculation: $8,000 \, \text{cm}$ (total tape needed) $\div 2,000 \, \text{cm}$ (tape per roll) $= 4$ rolls
Determine Rolls Needed: Since the electrician needs $8,000$ centimeters of tape and each roll contains $2,000$ centimeters, we divide the total amount needed by the amount per roll to find the number of rolls needed. $\newline$ Calculation: $8,000 \, \text{cm} \div 2,000 \, \text{cm} = 4$