Find or investigate the function as requested.
-Find a function f(n)whose domain is the set of natural numbers and the output produces the terms of the sequence 4, 16, 64, 256, . . .
A) $4 n$
B) $4 ^ { \mathrm { n } }$
C) $\mathrm { n } ^ { 4 }$
D) There is no such function.

Question

Find or investigate the function as requested.
-Find a function f(n)whose domain is the set of natural numbers and the output produces the terms of the sequence 4, 16, 64, 256, . . . 
A) $4 n$
B) $4 ^ { \mathrm { n } }$
C) $\mathrm { n } ^ { 4 }$
D) There is no such function.

Quizplus · Accepted Answer

The sequence is a geometric sequence where each term is 4 times the previous term, starting with 4. The function that generates this sequence is $f(n) = 4^n$, where n is a natural number.

Find or Investigate the Function as Requested 4n4 n4n B) 4n4 ^ { \mathrm { n } }4n

Find or Investigate the Function as Requested $4 n$ B) $4 ^ { \mathrm { n } }$