Step-by-step explanation:
We can notice that for each new value of n, we add one cero in the decimals before 1 and for Sn, we add a 1 at the end. Therefore, we can complete the table as follows.
Answer
n (0.1)^n Sn
0 1 1
1 0.1 1.1
2 0.01 1.11
3 0.001 1.111
4 0.0001 1.1111
5 0.00001 1.11111
6 10^(-6) 1.111111
7 10^(-7) 1.1111111
8 10^(-8) 1.11111111
9 10^(-9) 1.111111111
10 10^(-10) 1.1111111111
11 10^(-11) 1.11111111111
12 10^(-12) 1.111111111111
13 10^(-13) 1.1111111111111
14 10^(-14) 1.11111111111111
15 10^(-15) 1.111111111111111
16 10^(-16) 1.1111111111111111
17 10^(-17) 1.11111111111111111
18 10^(-18) 1.111111111111111111
19 10^(-19) 1.1111111111111111111
20 10^(-20) 1.11111111111111111111