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

Question

Complete the sequence:

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

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.

Answer

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