Answer 1

1	2	3	4	5	6	7
Age	lx	dx	qx	Lx	Tx	`e_x^0`
0	1000	150	0.15	925	2495	2.495
1	850	90	0.1059	805	1570	1.847
2	760	400	0.5263	560	765	1.0065
3	360	335	0.9305	192.5	205	0.5694
4	25	25	1	12.5	12.5	0.5
5	0	-	-	-	-	-

Where, dx = lx - lx+1
qx = `d_x/l_x`

`Lx = 1/2 ( l_x + l_(x+1))`

`T_x = L_x + T_( x + 1)`

`e_x^0 = T_x/l_x`

Answer 2

We have 

d_x = l_x - l_{x+ 1} 

q_x = `"d"_"x"/"l"_"x" = ("l"_"x" - "l"_("x + 1"))/"l"_"x"`

p_x = 1 - q_x

`"e"_x^0 = "T"_"x"/"l"_"x"`

If x = 0 , x + 1 = 1

d₀ = l₀ - l₁

q₀ = `"d"_0/"l"_0    "p"_0 = 1 - "q"_0`

`"L"_0 = ("l"_0 + "l"_1)/2`

`"e"_0^0 = "T"_0/"l"_0`

1	2	3	4	5	6	7	8
Age	lx	dx = lx - lx + 1	qx = `"d"_"x"/"l"_"x"`	px = 1 - qx	Lx = `("l"_"x" + "l"_("x"+  1))/2`	Tx	`e_"x"^0 = "T"_"x"/"l"_x`
0	1000	150	0.150	0.850	925	2495.0	2.495
1	850	90	0.1059	0.8941	805	1570.0	1.8471
2	760	400	0.5263	0.4737	560	765.0	1.0066
3	360	335	0.9306	0.0694	192.5	205.0	0.5694
4	25	25	1.00	0	12.5	12.5	0.5000
5	0	-	-	-	-	-	-