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Find the sum of the first 77 terms in the following geometric series. Do not round your answer. 1024+512+256+…1024+512+256+\ldots

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Find the sum of a finite geometric seriesright chevron icon

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Q. Find the sum of the first 77 terms in the following geometric series. Do not round your answer. 1024+512+256+…1024+512+256+\ldots
  1. Calculate Total Tape Needed: Determine the total amount of electrical tape needed and the amount of tape on each roll.\newlineThe electrician needs 8,0008,000 centimeters of electrical tape, and each roll contains 2,0002,000 centimeters of tape.
  2. Calculate Rolls Needed: Calculate the number of rolls needed by dividing the total amount of tape needed by the amount of tape on each roll.\newlineNumber of rolls needed =Total amount of tape neededAmount of tape on each roll= \frac{\text{Total amount of tape needed}}{\text{Amount of tape on each roll}}\newlineNumber of rolls needed =8,000 cm2,000 cm= \frac{8,000 \, \text{cm}}{2,000 \, \text{cm}}
  3. Perform Division: Perform the division to find the number of rolls.\newlineNumber of rolls needed = 8,000 cm÷2,000 cm=48,000 \, \text{cm} \div 2,000 \, \text{cm} = 4 rolls

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