Answer :

The sequence provided appears to follow a pattern where each term is divided by 3 to get to the next term. To demonstrate this, we start with the first term and proceed step-by-step through the sequence:

  1. First Term: 324.

  2. Second Term: Divide the first term by 3:
    [tex]\frac{324}{3} = 108.[/tex]

  3. Third Term: Divide the second term by 3:
    [tex]\frac{108}{3} = 36.[/tex]

  4. Fourth Term: Divide the third term by 3:
    [tex]\frac{36}{3} = 12.[/tex]

  5. Fifth Term: Divide the fourth term by 3:
    [tex]\frac{12}{3} = 4.[/tex]

  6. Sixth Term: Divide the fifth term by 3:
    [tex]\frac{4}{3} = 1.33\ldots[/tex] (This rounds to 1.3 as per the sequence listing)

  7. Seventh Term: Divide the sixth term by 3:
    [tex]\frac{1.3}{3} \approx 0.4333\ldots[/tex] (This rounds to 0.4 as per the sequence listing)

  8. Eighth Term: Divide the seventh term by 3:
    [tex]\frac{0.4}{3} \approx 0.1333\ldots[/tex] (This rounds to 0.14 as per the sequence listing)

The continuation of this pattern by dividing each term by 3 results in the sequence you've noticed. This type of sequence is known as a geometric sequence, where each term is obtained by multiplying the previous term by a constant factor. In this case, the constant factor is [tex]\frac{1}{3}[/tex].

Thanks for taking the time to read Identify the pattern in the sequence 324 108 36 12 4 1 3 0 4 0 14 The pattern is dividing each term by 3. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada