Complete the Decreasing Sequence: 900, 800, and Beyond

Question

Complete the sequence:

900,900, 900,800,  900{,}900,\ 900{,}800, \ \ldots

Step-by-Step Solution

To find the pattern in the sequence 900,900,900,800,900,900, 900,800, \ldots, we need to determine the difference between successive terms.

Step 1: Calculate the difference between the first two terms:

900,800900,900=100900,800 - 900,900 = -100

Step 2: The sequence decreases by 100. Using this consistent decrease, we can determine the next terms:

  • From 900,800900,800, subtract 100: 900,800100=900,700900,800 - 100 = 900,700
  • From 900,700900,700, subtract 100: 900,700100=900,600900,700 - 100 = 900,600
  • From 900,600900,600, subtract 100: 900,600100=900,500900,600 - 100 = 900,500

Therefore, the completed sequence is 900,700,900,600,900,500900,700, 900,600, 900,500.

Answer

900,700, 900,600, 900,500 900{,}700,\ 900{,}600, \ 900{,}500


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