Complete the sequence:
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Complete the sequence:
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
.
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 .
The term after 800,865 is .
The term after 800,860 is .
Therefore, the complete sequence is: .
Step 3: Choose the correct sequence from the options:
The correct multiple-choice option is:
Thus, the sequence is completed as follows:
Complete the sequence:
\(  20{,}000,\ 20{,}001,\ 20{,}002, \ \ldots  \)
Compare the first two terms! If the second term is smaller than the first (like 800,870 < 800,875), the sequence is decreasing. If it's larger, the sequence is increasing.
The commas are just for easier reading! Treat 800,875 as 800875 when calculating. The difference is still , but it's decreasing by 5 each time.
No! In an arithmetic sequence, the difference between consecutive terms must be exactly the same throughout the entire sequence. That's what makes it 'arithmetic'.
Look at the answer choices! They typically show 3 additional terms after the given ones. Calculate each term by subtracting the common difference from the previous term.
Double-check your common difference calculation! Make sure you're subtracting in the right order: second term minus first term. Also verify you're applying the pattern consistently.
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