Choose a formula for the nth term of the sequence:
a2 , a4 , a6 , ...
2 4 8
a^2n
2^n
a^2n
2n
a^2n
2+n
2^n
a
The notation is kind of weird, but it appears that
a2n = 2^n
this question had me confused, thank you!
To find the formula for the nth term of the given sequence, we need to determine the pattern in the sequence.
Looking at the given sequence: a2, a4, a6, ...
We can observe that each term in the sequence is obtained by raising 2 to the power of the term's index. For example, a2 = 2^2 = 4, a4 = 2^4 = 16, and so on.
Therefore, the formula for the nth term of the sequence is:
a_n = 2^n
This means that for any given term in the sequence, you can find the value by raising 2 to the power of the term's index.