how to create a sequence with percentage increments

i want to create a squence of n numbers that start at 3 and go up in 10% increments. how would i do that?

Answer 1

[Chunru]

n = 10;
x = 3*1.1.^(0:n-1)

x = 1×10

3.0000 3.3000 3.6300 3.9930 4.3923 4.8315 5.3147 5.8462 6.4308 7.0738

Answer 2

[DGM]

Here's one way.

n = 15;
x0 = 3;
inc = 0.1;

x = ones(1,n-1)*(1+inc);
x = cumprod([x0 x])

x = 1×15

3.0000 3.3000 3.6300 3.9930 4.3923 4.8315 5.3147 5.8462 6.4308 7.0738 7.7812 8.5594 9.4153 10.3568 11.3925

There are probably simpler ways with a bit of math. You could do it with a simple exponential if you just calculate the right parameter.

x2 = 0:n-1;
x2 = x0*exp(log(1+inc)*x2)

x2 = 1×15

3.0000 3.3000 3.6300 3.9930 4.3923 4.8315 5.3147 5.8462 6.4308 7.0738 7.7812 8.5594 9.4153 10.3568 11.3925

Whichever one of these three options is fastest depends on the vector length and version/environment.