Complete the sequence:
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Complete the sequence:
To solve this problem, we'll identify that we are dealing with an arithmetic sequence where each term increases by 1.
Now, let's work through these steps:
Step 1: The sequence starts at . The difference is clearly 1, as each number is 1 more than its predecessor.
Step 2: The rule for this sequence is to take the last number and add 1 to generate the next number. We continue the pattern.
Step 3: Continuing from 109:
Therefore, the next numbers in the sequence are .
Hence, the correct answer choice is the one with the sequence .
Complete the following sequence:
\( 1,3.\ldots \)
Look at the differences between consecutive terms: 108 - 107 = 1, and 109 - 108 = 1. When the difference is constant, it's an arithmetic sequence!
If you saw 109, 108, 107, the common difference would be -1 (negative). You'd continue subtracting 1 to get 106, 105, 104, etc.
While other patterns are possible, always start with the simplest explanation. Since 107, 108, 109 increases by 1 each time, continuing with +1 is most logical.
The question asks you to complete the sequence, so look at the answer choices to see how many terms they expect. Usually it's 3-4 more terms.
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