Answer:
2. 27
3. Option C. 3, 5, 9, 17, 33, ...
Step-by-step explanation:
2. The sequence is defined by the explicit function [tex]t_{n} = 2^{n} - n[/tex]
Therefore, the 5th term i.e. [tex]t_{5}[/tex] of the sequence.
[tex]t_{5} = 2^{5} - 5 = 32 - 5 = 27 [/tex] (Answer)
3. The explicit definition is [tex]t_{n} = 2^{n} + 1[/tex]
Hence, [tex]t_{1} = 2^{1} + 1 = 3[/tex]
[tex]t_{2} = 2^{2} + 1 = 5[/tex]
[tex]t_{3} = 2^{3} + 1 = 9[/tex]
[tex]t_{4} = 2^{4} + 1 = 17[/tex]
Therefore, the option C is the right sequence. (Answer)
