Complete the sequence:
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Complete the sequence:
To complete the sequence , follow these steps:
Let's work through the steps:
Step 1:
The sequence given is: .
Step 2:
Observe that the first term is reduced to , then to , establishing a pattern of subtracting 1.
Step 3:
Using this pattern, find the next terms:
From , subtract 1 to get .
From , subtract 1 to get .
From , subtract 1 to get .
Therefore, the sequence continues as follows: .
Complete the sequence:
\( 20{,}000,\ 20{,}001,\ 20{,}002, \ \ldots \)
Look at the first few terms! If each number gets smaller (like 20,155 → 20,154 → 20,153), it's decreasing. If each gets larger, it's increasing.
Find the common difference by subtracting any term from the next one. It could be +2, -3, +5, etc. The key is that this difference stays the same throughout the sequence.
Usually 3 terms unless the problem specifies more. This shows you understand the pattern and can apply it multiple times correctly.
Write out the differences between consecutive terms: and . When differences are equal, you've found your pattern!
Absolutely! If you keep subtracting from positive numbers, you'll eventually reach zero and then negative numbers. The pattern still works the same way.
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