The first five terms of a sequence are shown.4, 12, 36, 108, 324,write an explicit function to model the value of the nth term in the sequence such that f(1) = 4f(n) = explain! (i'm doing a practice test, and i'm not sure how to do this, i need an example to me for when i take the real test. you! )

It is geometric sequence
because ratio 12/4=3, 36/12= 3 and so on
explicit formula for geometric sequence is f(n)=a(1)*r^(n-1)
explicit means you can find any term of a sequence using 1st term and number n that shows location of the term (second ,third ...and so on)

f(n)=4*3^(n-1)

Answer: the correct answer is 10step-by-step explanation: let the number be n, then the expression becomes,then“twelve more than the quotient of a number and two, decreased by four” iswhen n=4,we substitute 4 whetever we see n to get,we simplify to obtain,we further simplify to get,therefore the correct answer is c.