Complete the Sequence: Finding the Pattern in 36, 34, ...

Complete the sequence:

36,34 36,34\ldots

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Step-by-step written solution

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1

Understand the problem

Complete the sequence:

36,34 36,34\ldots

2

Step-by-step solution

To complete the given sequence 36,34, 36, 34, \ldots , we need to identify the pattern in the sequence. From the given terms, it appears that the sequence is decreasing.

Let's check if this is an arithmetic sequence, where each term decreases by a constant amount:

  • Subtract the second term from the first term: 3634=2 36 - 34 = 2 .
  • This indicates that each term is decreasing by 2.

Recognizing this pattern, the sequence can be continued by subtracting 2 from each subsequent term:

  • The next term after 34 is calculated as follows: 342=32 34 - 2 = 32 .
  • Continuing, the term after 32 is: 322=30 32 - 2 = 30 .
  • Finally, the term following 30 is: 302=28 30 - 2 = 28 .

Therefore, the complete sequence is 36,34,32,30,28 36, 34, 32, 30, 28 .

The correct answer choice, which matches this sequence, is:

36,34,32,30,28 36,34,32,30,28

3

Final Answer

36,34,32,30,28 36,34,32,30,28

Practice Quiz

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Complete the following sequence:

\( 20,\ldots,24,26\ldots ,\ldots \)

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