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Find the sum of the infinite geometric series. \newline5+1+15+125+…5 + 1 + \frac{1}{5} + \frac{1}{25} + \ldots \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. \newline5+1+15+125+…5 + 1 + \frac{1}{5} + \frac{1}{25} + \ldots \newlineWrite your answer as an integer or a fraction in simplest form. \newline__\_\_
  1. Identify Total Tape Needed: Identify 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 by the amount of tape on each roll.\newlineNumber of rolls needed =Total amount of tape neededAmount of tape in each roll= \frac{\text{Total amount of tape needed}}{\text{Amount of tape in each roll}}\newlineNumber of rolls needed =8,000 cm2,000 cm/roll= \frac{8,000 \, \text{cm}}{2,000 \, \text{cm/roll}}
  3. Perform Division: Perform the division to find the number of rolls.\newlineNumber of rolls needed = 8,000 cm÷2,000 cm/roll=4 rolls8,000 \, \text{cm} \div 2,000 \, \text{cm}/\text{roll} = 4 \, \text{rolls}

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