Question

What is the equation for the data? And how did you get it?

I don't understand how you find the equation.

x- 0 1 2 3 4
y- 2 6 18 54 162

Answer 1

`y=2*3^x`

Explanation:

It is observed that while values of `x` are in arithmetic sequence,

where `x=a_n=n-1`, which gives us `n=x+1`

values of `y` are in geometric sequence,

where `y=g_n=2*3^(n-1)` - let us call it (A)

Hence relation is `y=2*3^x`

This is obtained by putting `n=x+1` in (A) .