Question

What is the explicit formula for the sequence?3,1,-1, -3, -5,...a,= -2n +5a, = 17-5an= 2n-5an= -2n + 3

Answer 1

We need the formula that gives us the values of the sequence

where n is the value of the position

using the formula

`a_n=-2n+5`

`\begin{gathered} a_1=-2(1)+5=3 \\ a_2=-2(2)+5=1 \\ a_3=-2(3)+5=-1 \\ a_4=-2(4)+5=-3 \\ a_5=-2(5)+5=-5 \end{gathered}`

as we can see the formula is the correct formula because we obtain the values of the sequence