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

1 Answer
Jul 24, 2018

y=2*3^xy=23x

Explanation:

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

where x=a_n=n-1x=an=n1, which gives us n=x+1n=x+1

values of yy are in geometric sequence,

where y=g_n=2*3^(n-1)y=gn=23n1 - let us call it (A)

Hence relation is y=2*3^xy=23x

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