Q:

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) = Please explain!(I'm doing a practice test, and I'm not sure how to do this, I need an example to help me for when I take the real test. Thank you!)

Accepted Solution

A:
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)