Answer:
128, 256, and 512
Step-by-step explanation:
To find the next three terms in the sequence defined by the function [tex] \sf f(n) = 2^n [/tex], we need to evaluate the function for [tex] \sf n = 7, 8, [/tex] and [tex] \sf 9 [/tex] since the sequence starts with [tex] \sf n = 6 [/tex].
Let's calculate the values:
When [tex] \sf n = 7 [/tex]:
[tex] \sf f(7) = 2^7 = 128 [/tex]
When [tex] \sf n = 8 [/tex]:
[tex] \sf f(8) = 2^8 = 256 [/tex]
When [tex] \sf n = 9 [/tex]:
[tex] \sf f(9) = 2^9 = 512 [/tex]
Therefore, the next three terms in the sequence are 128, 256, and 512.
