Question

or
Writeanequationtodescribethesequencebelow.Usentorepresentthepositionofaterminthesequence,wheren = 1forthefirstterm.


17 , 34 , 68 , ...


Write your answer using decimals and integers.

an =
(
)n - 1

Answer 1

To describe the sequence \( 17, 34, 68, \ldots \), we first observe the pattern of the sequence.

Each term can be recognized as a multiple of 17:

- The 1st term is \( 17 \times 1 = 17 \)
- The 2nd term is \( 17 \times 2 = 34 \)
- The 3rd term is \( 17 \times 4 = 68 \)

From this, we can see that the sequence can be described with the formula:

\[
a_n = 17 \cdot 2^{n-1}
\]

So using the required format:

\[
a_n = 17(2^{n-1})
\]

Here, \( n \) represents the position of the term in the sequence, starting from \( n = 1 \) for the first term.