Complete the Number Sequence: 800,875, 800,870, and Beyond

Question

Complete the sequence:

800,875, 800,870,  800{,}875,\ 800{,}870, \ \ldots

Step-by-Step Solution

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
800,875800,870=5800,875 - 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 800,8705=800,865800,870 - 5 = 800,865.

  • The term after 800,865 is 800,8655=800,860800,865 - 5 = 800,860.

  • The term after 800,860 is 800,8605=800,855800,860 - 5 = 800,855.

Therefore, the complete sequence is: 800,875, 800,870, 800,865, 800,860, 800,855800,875,\ 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, 800,855 800{,}865,\ 800{,}860,\ 800{,}855

Thus, the sequence is completed as follows:

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

Answer

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


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