Complete the Arithmetic Sequence: 20, 30, 40...

Complete the sequence:

20,30,40 20,30,40\ldots

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Step-by-step written solution

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1

Understand the problem

Complete the sequence:

20,30,40 20,30,40\ldots

2

Step-by-step solution

To complete the sequence 20,30,40, 20, 30, 40, \ldots , we need to determine the pattern.

  • Identify the pattern: Find the difference between successive terms.
  • Calculate the difference: 3020=10 30 - 20 = 10 and 4030=10 40 - 30 = 10 . The common difference is 10.
  • Continue the sequence using this pattern: Add 10 to the last given number to find the next number.
  • Extend the sequence:
    • The term after 40 is 40+10=50 40 + 10 = 50 .
    • The next term is 50+10=60 50 + 10 = 60 .
    • The next term is 60+10=70 60 + 10 = 70 .

Thus, the complete sequence is 20,30,40,50,60,70 20, 30, 40, 50, 60, 70 .

Therefore, the solution to the problem is 20,30,40,50,60,70 20, 30, 40, 50, 60, 70 , corresponding to choice 4.

3

Final Answer

20,30,40,50,60,70 20,30,40,50,60,70

Practice Quiz

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Complete the following sequence:

\( 20,\ldots,24,26\ldots ,\ldots \)

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