For a 2-year select-and-ultimate mortality table you are given:

x q[x] q[x]+1 qx+2 l[x] l[x]+1 lx+2 x+2
48 0.02 50
49 0.03 51
50 0.04 10,000 52
51 53

q[x] = .5qx for all x
q[x]+1 = .4qx+1 for all x


Sorry the table is not showing properly

- 48,49,50,51 go under x
- 0.02, 0.03, 0.04 go under qx+2
- 10,000 goes under l[x] and 50
- 50, 51,52,53 go under x+2


Can someone help me on calculating l[51] . (Ans 9687.9)