Determine the Next Number in the 582,985 and 583,985 Sequence

Question

Complete the sequence:

582,985, 583,985,  582{,}985,\ 583{,}985, \ \ldots

Step-by-Step Solution

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

  • Step 1: Identify the increment between the given sequence numbers.
  • Step 2: Use this increment to find the next numbers in the sequence.

Let's work through each step:

Step 1: Identify the increment.
The sequence begins with 582,985 582,985 and 583,985 583,985 . Calculate the difference between these numbers:
583,985582,985=1,000 583,985 - 582,985 = 1,000 .
Thus, each number in the sequence increases by 1,000.

Step 2: Extend the sequence.
Starting from the last given number 583,985 583,985 , add 1,000 to find the subsequent numbers:

  • The next number is 583,985+1,000=584,985 583,985 + 1,000 = 584,985 .
  • The following number is 584,985+1,000=585,985 584,985 + 1,000 = 585,985 .
  • Continue this process: 585,985+1,000=586,985 585,985 + 1,000 = 586,985 .

Therefore, by continuing the arithmetic pattern, the completed sequence is:
584,985,585,985,586,985 584,985, 585,985, 586,985 .

Matching this result with the given choices, the correct answer is choice 3, which is:
584,985,585,985,586,985 584,985, 585,985, 586,985 .

Answer

584,985, 585,985, 586,985 584{,}985,\ 585{,}985, \ 586{,}985


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