Complete the Arithmetic Sequence: 200, 300, 400...

Question

Complete the sequence:

200,300,400 200,300,400\ldots

Step-by-Step Solution

The sequence provided is 200,300,400, 200, 300, 400, \ldots . To determine the pattern, calculate the difference between consecutive terms:

  • The difference between 300 300 and 200 200 is 100 100 .
  • The difference between 400 400 and 300 300 is 100 100 again.

This confirms the sequence increases by 100 100 for each successive term. To extend this sequence:

  • Add 100 100 to 400 400 to get 500 500 .
  • Add 100 100 to 500 500 to get 600 600 .
  • Add 100 100 to 600 600 to get 700 700 .

Thus, the sequence continued is: 200,300,400,500,600,700 200, 300, 400, 500, 600, 700 .

The correct answer is:
200,300,400,500,600,700 200,300,400,500,600,700

Answer

200,300,400,500,600,700 200,300,400,500,600,700