Answer:
[tex]a_{n}=2^{n}+3[/tex]
Step-by-step explanation:
The given sequence is not arithmetic, it's a geometric sequence, that means the sequence is obtain using powers. The faster way to find the answer is to try options that fist with a geometric sequence. If we try the last one, we'll find that's the answer.
We need to try for n=1, n=2, n=3, n=4 and n=5:
a_{1}=2^{1}+3=5
a_{2}=2^{2}+3=4+3=7
a_{3}=2^{3}+3=8+3=11
a_{4}=2^{4}+3=16+3=19
a_{5}=2^{5}+3=32+3=35
Therefore, the right answer is the last choice, because as you can observe, it fits perfectly with the given sequence.
