Question

which sequence is modeled by the graph below

Answer 1

looks like a shifted exponential: \[\large y = 3^{x-2}\]

Answer 2

i dont get it

Answer 3

@amistre64

Answer 4

@tanya123 @eliassaab @dacutiepie @Whitemonsterbunny17

Answer 5

hello?

Answer 6

Note that all the "y-values" are powers of 3.

It is a geometric sequence, \(a_n = a_1r^{n-1}\) with \(r = 3\). The first term \(a_1\) is not actually given, so we make a guess... (1, ??).
We do have (2,1) -> \( a_2 = 1\), and (3,3) ->\( a_3 = 3\) and (4,9) -> \(a_4 = 9\).

Note,
\(a_2 = 3^0 =\frac{1}{3} \left(3^1\right)\)
\(a_3 = 3^1 =\frac{1}{3} \left(3^2\right)\)
\(a_4 = 3^2 =\frac{1}{3} \left(3^3\right)\)

So it looks like \(a_1 = \dfrac{1}{3}\).

So, the sequence is
\[a_n = \frac{1}{3}\left(3^{n-1}\right)\]