Answer:
3, 5, 9, 17, 33...
Step-by-step explanation:
To find the right answer we just replace initial values for the given expression:
[tex]t_{n}=2^{n}+1[/tex]
For [tex]n=1[/tex]:
[tex]t_{1}=2^{1}+1=2+1=3[/tex]
For [tex]n=2[/tex]:
[tex]t_{2}=2^{2}+1=4+1=5[/tex]
For [tex]n=3[/tex]:
[tex]t_{3}=2^{3}+1=8+1=9[/tex]
So, based on these results, the third option is the correct answer, because replace the first three numbers, we had 3, 5, 9, which is in the third sequence.
