Find the 100th Term in the Sequence 10n-9: Linear Pattern Solution

To find the 100th element in the sequence defined by $a_n = 10n - 9$, follow these steps:

• Identify that the term we are looking for is the 100th term, so set $n = 100$.

• Substitute $n = 100$ into the formula:
  $a_{100} = 10 \times 100 - 9$.

• Perform the arithmetic operations:
  $10 \times 100 = 1000$
  $1000 - 9 = 991$.

The value of the 100th element in the sequence is therefore $\textbf{991}$.