# Math Help - What is the formula for this pattern?

1. ## What is the formula for this pattern?

This is a simple problem but I can't seem to figure it out.

X = 1, Y = 0
X = 2, Y = 10
X = 3, Y = 30
X = 4, Y = 70
X = 5, Y = 150

Difference between each point starts at 10. The next point multiplies current difference by 2 and the adds up the previous' total.

Difference between each point
1-2 = 10
2-3 = 20
3-4 = 40
4-5 = 80

2. Originally Posted by checkii
This is a simple problem but I can't seem to figure it out.

X = 1, Y = 0
X = 2, Y = 10
X = 3, Y = 30
X = 4, Y = 70
X = 5, Y = 150

Difference between each point starts at 10. The next point multiplies current difference by 2 and the adds up the previous' total.

Difference between each point
1-2 = 10
2-3 = 20
3-4 = 40
4-5 = 80
$
y = 10(2^{x-1} - 1)
$