Solution

36859

First name
Fergus Hungerford
School
Lamberhurst St Mary's CEP
Country
Age
7

The solution is 22.

For each week I followed what the puzzle said and marked each new branches growth with the number week until I got to 6. Then I put a flower on the end of each branch and counted them up.

2 branches in week one and 4 branches in each of the next 5 weeks, makes 22.