Complete the Sequence: Finding the Pattern in 176, 175, 174

Question

Complete the sequence:

176,175,174, 176,175,174,\ldots

Step-by-Step Solution

To solve this problem, let's follow these steps:

  • Step 1: Identify the pattern in the given sequence.
  • Step 2: Recognize that the sequence decreases each term by 1.
  • Step 3: Continue subtracting 1 from each term to extend the sequence.

Now, let's perform each step:

Step 1: The given sequence is 176,175,174 176, 175, 174 . Observing these numbers, each term is exactly 1 less than the previous term.

Step 2: We can confirm the pattern is subtracting 1 from the preceding term.

Step 3: Continue this pattern with subsequent terms:

  • After 174, the next term is 1741=173 174 - 1 = 173 .
  • After 173, the next term is 1731=172 173 - 1 = 172 .
  • After 172, the next term is 1721=171 172 - 1 = 171 .
  • After 171, the next term is 1711=170 171 - 1 = 170 .

Therefore, by following the identified pattern, we extend the sequence as 173,172,171,170 173, 172, 171, 170 .

The correct answer is 173,172,171,170\mathbf{173, 172, 171, 170}.

Answer

173,172,171,170 173,172,171,170