Does this sequence $2^{r-i} 3^i, \text{for } 0\leq i \leq r$ have a name?

Question

We have a sequence where the power of two (say) decreases and the power of three (say) increases. $$2^{r-i} 3^i, \text{for } 0\leq i \leq r$$ Is there a name for this?

Answer 1

You can write it as $$2^r\Bigl(\frac32\Bigr)^i\ ,$$ which shows that it is a geometric sequence with first term $2^r$ and ratio $\frac32$.