Sequences / Skips up to a million: Increases of fifths/tens

Let's proceed step-by-step to find the pattern in the sequence:

• Step 1: Identify the sequence

  The sequence begins with $480{,}280$ and $480{,}290$.

• Step 2: Determine the common difference

  Subtract the first term from the second term: $480{,}290 - 480{,}280 = 10$. The common difference is $10$.

• Step 3: Apply the common difference to find the next terms
  • Add $10$ to the second term: $480{,}290 + 10 = 480{,}300$.
  • Add $10$ to get the next term: $480{,}300 + 10 = 480{,}310$.
  • Add $10$ again: $480{,}310 + 10 = 480{,}320$.

Therefore, the next terms in the sequence are $480{,}300,\ 480{,}310,\ 480{,}320$.

This matches choice 4, given the specified answer options.

Thus, we conclude that the sequence continues with $\textbf{480,300,\ 480,310,\ 480,320}$.

To solve this problem, follow these steps:

• Step 1: Identify the difference between the given terms.

• Step 2: Continue the pattern using this difference.

• Step 3: Select the right sequence from the choices given.

Let's begin:

Step 1: Calculate the difference in the sequence.
Given the sequence: 800,875, 800,870...

The difference between 800,875 and 800,870 is
$800,875 - 800,870 = 5$.

This indicates that each term decreases by 5.

Step 2: Apply the same pattern to complete the sequence.

• The next term after 800,870 is $800,870 - 5 = 800,865$.

• The term after 800,865 is $800,865 - 5 = 800,860$.

• The term after 800,860 is $800,860 - 5 = 800,855$.

Therefore, the complete sequence is: $800,875,\ 800,870,\ 800,865,\ 800,860,\ 800,855$.

Step 3: Choose the correct sequence from the options:
The correct multiple-choice option is:

$800{,}865,\ 800{,}860,\ 800{,}855$

Thus, the sequence is completed as follows:

$800{,}865,\ 800{,}860,\ 800{,}855$