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Find the sum of the infinite geometric series.\newline−10−4−85−1625+-10 - 4 - \frac{8}{5} - \frac{16}{25} + \newlineWrite your answer as an integer or a fraction in simplest form.\newline______

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Q. Find the sum of the infinite geometric series.\newline−10−4−85−1625+-10 - 4 - \frac{8}{5} - \frac{16}{25} + \newlineWrite your answer as an integer or a fraction in simplest form.\newline______
  1. 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 8,0008,000 centimeters of tape, and each roll contains 2,0002,000 centimeters of tape.\newlineTo 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.\newlineCalculation: 8,000 cm÷2,000 cm8,000 \, \text{cm} \div 2,000 \, \text{cm} per roll.
  2. Determine Rolls Needed: Perform the division to find the number of rolls needed.\newlineCalculation: 8,000÷2,000=48,000 \div 2,000 = 4.\newlineThis means the electrician needs 44 rolls of tape.

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