Write the explicit formula of the sequence -27, 9, -3, 1…

Question

Hello! I believe the difference to the problem above is -1/3, but I am having a hard time writing down the correct explicit formula. Help would be greatly appreciated, thanks! :)

Answer 1

When you say, "each term in the sequence is obtained by multiplying -1/3 to the previous term," that is the recursive definition.

An explicit definition can give a value for the n^th item in a sequence by simply using the value of n:

a_n = -27 * (-1/3)^n-1 (more generally written as: a_n = a₁ * (-1/3)^n-1 )

Answer 2

Hi Yuna

Are you saying that y = (-1/3)x or f(x) = (-1/3)x?

Give it a try.