Find the Pattern in the Sequence: 715,347, 714,347, ...

Question

Complete the sequence:

715,347, 714,347,  715{,}347,\ 714{,}347, \ \ldots

Step-by-Step Solution

To solve the sequence problem, we follow these steps:

  • Step 1: Determine the pattern of the sequence by finding the common difference.
  • Step 2: Use the common difference to find the next terms.

Step 1: The first number in the sequence is 715,347, and the second is 714,347. Subtract the second from the first:
715,347714,347=1,000 715,347 - 714,347 = 1,000 .
This indicates that each term is 1,000 less than the previous term.

Step 2: To find the next numbers in the sequence, continue subtracting 1,000 from the last known term:
- Third term: 714,3471,000=713,347 714,347 - 1,000 = 713,347 .
- Fourth term: 713,3471,000=712,347 713,347 - 1,000 = 712,347 .
- Fifth term: 712,3471,000=711,347 712,347 - 1,000 = 711,347 .

Thus, the next three terms in the sequence are 713,347 713,347 , 712,347 712,347 , and 711,347 711,347 .

Therefore, the correct completion of the sequence is: 713,347,712,347,711,347 713,347, 712,347, 711,347 .

Answer

713,347, 712,347, 711,347 713{,}347,\ 712{,}347, \ 711{,}347


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