Predict the Next Number: Understanding the Pattern in 57,000, 58,000, 59,000...

Question

Complete the sequence:

57,000, 58,000, 59,000,  57{,}000,\ 58{,}000,\ 59{,}000, \ \ldots

Step-by-Step Solution

To solve this problem, we'll analyze the pattern of the given sequence:

  • Step 1: Identify the pattern in the sequence.
  • Step 2: Calculate the common difference.
  • Step 3: Apply this pattern to find the next numbers.

Step 1: Examine the given sequence: 57,000,58,000,59,000 57,000, 58,000, 59,000 .

Step 2: The difference between consecutive terms is 58,00057,000=1,000 58,000 - 57,000 = 1,000 and 59,00058,000=1,000 59,000 - 58,000 = 1,000 . Therefore, the common difference is 1,000 1,000 .

Step 3: To find the next terms, add 1,000 1,000 to the last term:

  • Add 1,000 1,000 to 59,000 59,000 to get 60,000 60,000 .
  • Add 1,000 1,000 to 60,000 60,000 to get 61,000 61,000 .
  • Add 1,000 1,000 to 61,000 61,000 to get 62,000 62,000 .

Thus, the complete sequence is: 60,000,61,000,62,000 60,000, 61,000, 62,000 .

Therefore, the solution to the problem is: 60,000,61,000,62,000 60,000, 61,000, 62,000 .

Answer

60,000, 61,000, 62,000 60{,}000,\ 61{,}000,\ 62{,}000


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