Complete the sequence:
6,500, 6,400, 6,300, …
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.
- 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.
Step 2: Observing the sequence, each number decreases by 100 from the previous number. This indicates a common difference of −100.
Step 3: Continuing this pattern:
If the last given number is 6300, the next number would be 6300−100=6200.
Similarly, we continue:
6200−100=6100
6100−100=6000
Therefore, continuing the sequence results in the terms: 6200,6100,6000.
Therefore, the solution to the problem is 6200,6100,6000.
6,200, 6,100, 6,000