Complete the Sequence: Finding Numbers After 6,500, 6,400, 6,300

Question

Complete the sequence:

6,500, 6,400, 6,300,  6{,}500,\ 6{,}400,\ 6{,}300, \ \ldots

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given numbers and the rule or pattern.
  • Step 2: Determine the common difference, which is 100-100.
  • Step 3: Use this pattern to continue the sequence.

Now, let's work through each step:
Step 1: The initial terms of the sequence are 6500,6400,6300 6500, 6400, 6300 .
Step 2: Observing the sequence, each number decreases by 100 from the previous number. This indicates a common difference of 100-100.
Step 3: Continuing this pattern:
If the last given number is 6300, the next number would be 6300100=6200 6300 - 100 = 6200 .
Similarly, we continue:
6200100=6100 6200 - 100 = 6100
6100100=6000 6100 - 100 = 6000

Therefore, continuing the sequence results in the terms: 6200,6100,6000 6200, 6100, 6000 .

Therefore, the solution to the problem is 6200,6100,6000 6200, 6100, 6000 .

Answer

6,200, 6,100, 6,000 6{,}200,\ 6{,}100,\ 6{,}000


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