IF A1 = ×12 8, A2 =102 98× , A3 =1002 998× , A4 =10002 9998× ,...

4.

If

a

1

= ×

12 8

,

a

2

=

102 98

×

,

a

3

=

1002 998

×

,

a

4

=

10002 9998

×

,

and

S

= + + + + ⋅⋅⋅ +

a

a

a

a

a

, then what is the sum of all the digits of S?

1

2

3

4

20

Answer :