Find the sum of the infinite geometric series. 7 + 28/5 + 112/25 + 448/125 + Write your answer as an integer or a fraction in simplest form. ______

Calculate Total Tape Needed: First, we need to determine the total amount of electrical tape the electrician needs and the amount of tape on each roll. The electrician needs 8,000 centimeters of tape, and each roll contains 2,000 centimeters of tape. To find out how many rolls the electrician should order, we divide the total amount of tape needed by the amount of tape on each roll. Calculation: 8,000 cm ÷ 2,000 cm/roll = 4 rollsDetermine Number of Rolls: Now that we have calculated the number of rolls needed, we should check our math to ensure there are no errors. We can do this by multiplying the number of rolls by the amount of tape on each roll to see if it equals the total amount needed. Calculation: 4 rolls × 2,000 cm/roll = 8,000 cm This matches the total amount of tape needed, so there is no math error.

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Find the sum of the infinite geometric series. $\newline$ $7 + \frac{28}{5} + \frac{112}{25} + \frac{448}{125} +$ $\newline$ 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

7 + \frac{28}{5} + \frac{112}{25} + \frac{448}{125} +

\newline

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

\newline

\_\_

Calculate Total Tape Needed: First, we need to determine the total amount of electrical tape the electrician needs and the amount of tape on each roll. The electrician needs $8,000$ centimeters of tape, and each roll contains $2,000$ centimeters of tape. $\newline$ To find out how many rolls the electrician should order, we divide the total amount of tape needed by the amount of tape on each roll. $\newline$ Calculation: $8,000 \, \text{cm} \div 2,000 \, \text{cm/roll} = 4 \, \text{rolls}$
Determine Number of Rolls: Now that we have calculated the number of rolls needed, we should check our math to ensure there are no errors. We can do this by multiplying the number of rolls by the amount of tape on each roll to see if it equals the total amount needed. $\newline$ Calculation: $4$ rolls $\times 2,000$ cm/roll $= 8,000$ cm $\newline$ This matches the total amount of tape needed, so there is no math error.