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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).

2,(10)/(3),(50)/(9),dots
Find the 9th term.
Answer:

The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).\newline2,103,509, 2, \frac{10}{3}, \frac{50}{9}, \ldots \newlineFind the 99th term.\newlineAnswer:

Full solution

Q. The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).\newline2,103,509, 2, \frac{10}{3}, \frac{50}{9}, \ldots \newlineFind the 99th term.\newlineAnswer:
  1. Identify tape amount: 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 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 =8,000cm2,000cm/roll= \frac{8,000 \, \text{cm}}{2,000 \, \text{cm/roll}}
  3. Perform division for rolls: Perform the division to find the number of rolls.\newlineNumber of rolls needed = 8,000cm÷2,000cm/roll=4rolls8,000 \, \text{cm} \div 2,000 \, \text{cm}/\text{roll} = 4 \, \text{rolls}

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