1. A florist grows rose bushes.  At the start of each year the florist will dig up all their rose bushes, cutting flowers that are of high enough quality to sell in their shop and donating what’s left of the rose bushes to local communal garden projects.

Each year the soil quality improves such that the florist can grow two more than four times as many rose bushes as in the previous year.

For example, if the florist grew three rose bushes one year then the following year they would enable to grow $4\times3+2=14$ rose bushes.

The florist grows $x$ rose bushes in year 1.

Given that the florist grows 362 rose bushes in year 4 work out the value of $x.$