Complete the Sequence: Finding the Next Terms in 380,000, 370,000, ...

Question

Complete the sequence:

380,000, 370,000,  380{,}000,\ 370{,}000, \ \ldots

Step-by-Step Solution

To solve this problem, we'll determine the pattern in the sequence and extend it:

  • Step 1: Identify the pattern in the sequence
  • Step 2: Calculate the common difference
  • Step 3: Use the common difference to extend the sequence

Now, let's work through each step:
Step 1: The sequence starts with 380,000 380{,}000 and 370,000 370{,}000 . By observation, the numbers are decreasing.
Step 2: Calculate the common difference: 370,000380,000=10,000 370{,}000 - 380{,}000 = -10{,}000 . This tells us the sequence decreases by 10,000 10{,}000 for each step.
Step 3: Continue the sequence using the common difference:

  • The next term after 370,000 370{,}000 is 370,00010,000=360,000 370{,}000 - 10{,}000 = 360{,}000 .
  • The following term is 360,00010,000=350,000 360{,}000 - 10{,}000 = 350{,}000 .
  • The term after that is 350,00010,000=340,000 350{,}000 - 10{,}000 = 340{,}000 .

Therefore, the completed sequence is: 360,000, 350,000, 340,000 360{,}000,\ 350{,}000, \ 340{,}000 .

Answer

360,000, 350,000, 340,000 360{,}000,\ 350{,}000, \ 340{,}000


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