how to write a recursive formula? in algebra 2
a) -1, 8, -64, 512, -4096
Hi, I was looking at this today in my work but doesnt n equal to the nth term, with values (in most cases 0,1,2,3,4,5,6,7...; but which could be set to be less than 1 also I guess.) Is this right, could you elaborate for me please. Thanks.
n is the POSITION OF THE N'TH TERM.
IN THE SEQUENCE 3,5,7,9,11,.....
The second term is 5
the 5th term is 11
the n'th term could be written as 2n+1
In this context n cannot be 0. What is the 0th term? It does not make sense!
Recursively: The first term is -1.
Each term after the first is found by taking the previous term times -8.
Thus, the recursive formula: t(1) = -1
t(n) = -8 · t(n-1)