Sequence Challenge: Identify the Next Number in 653,150, 653,250, ...

Question

Complete the sequence:

653,150, 653,250,  653{,}150,\ 653{,}250, \ \ldots

Step-by-Step Solution

To solve the problem, we identify the sequence pattern:

  • Determine the difference between the given terms: 653,250653,150=100 653,250 - 653,150 = 100 .
  • Since the difference between consecutive terms is 100, this indicates the rule of the sequence.
  • To find the next terms, continue adding 100 to the last known term:
    • Next term after 653,250: 653,250+100=653,350 653,250 + 100 = 653,350 .
    • Next term after 653,350: 653,350+100=653,450 653,350 + 100 = 653,450 .
    • Next term after 653,450: 653,450+100=653,550 653,450 + 100 = 653,550 .

Thus, the completed sequence is 653,150,653,250,653,350,653,450,653,550 653,150, 653,250, 653,350, 653,450, 653,550 .

Therefore, the next three numbers in the sequence are 653,350,653,450,653,550 653{,}350, 653{,}450, 653{,}550 .

Answer

653,350, 653,450, 653,550 653{,}350,\ 653{,}450,\ 653{,}550


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