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Find the sum of the infinite geometric series.\newline6+32+38+332+…6 + \frac{3}{2} + \frac{3}{8} + \frac{3}{32} + \dots\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.\newline6+32+38+332+…6 + \frac{3}{2} + \frac{3}{8} + \frac{3}{32} + \dots\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 electrical tape, and each roll contains 2,0002,000 centimeters of tape.
  2. Determine Rolls Required: Next, we divide the total amount of tape needed by the amount of tape on each roll to find out how many rolls the electrician should order.\newlineSo, we calculate 8,000 cm÷2,000 cm/roll.8,000 \, \text{cm} \div 2,000 \, \text{cm/roll}.
  3. Order Tape Rolls: Performing the division, we get 8,000÷2,000=48,000 \div 2,000 = 4. This means the electrician needs to order 44 rolls of tape.

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