Complete the sequence:
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Complete the sequence:
To solve this problem, we'll determine the pattern in the sequence and extend it:
Now, let's work through each step:
Step 1: The sequence starts with and . By observation, the numbers are decreasing.
Step 2: Calculate the common difference: . This tells us the sequence decreases by for each step.
Step 3: Continue the sequence using the common difference:
Therefore, the completed sequence is: .
Complete the sequence:
\( 20{,}000,\ 20{,}001,\ 20{,}002, \ \ldots \)
An arithmetic sequence has the same difference between consecutive terms. Since , we subtract 10,000 each time.
The common difference is negative because the sequence is decreasing. We go from 380,000 down to 370,000, so we subtract 10,000 each step.
Double-check by working backwards! If 360,000 is correct, then should match the given term.
Yes! The common difference can be positive (increasing), negative (decreasing), or even fractions. The key is that it stays constant throughout the sequence.
The question asks for the next three terms after the given pattern. Always read carefully to see exactly how many terms are needed!
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