S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the 3rd digit of p, counting right to left from the units digit?  Select:
A) 2	B) 4	C) 4	D) 6	E) 9
--------------------------------------------------2   -------------------------------------------------22   -----------------------------------------------222   ---------------------------------------------2,222   -------------------------------------------22,222   ...   222,222,222,222,222,222,222,222,222,222   Total 30 numbers.   For the first digit (units place) we should add 30 2's --&gt; 30*2=60, so 0 will be units digit and 6 will be carried over;   For the second digit (tens place) we should add 29 2's --&gt; 29*2--  30*2= 
<gadget id="calculator">--  30*2</gadget>
<output>60</output>
60, so 0 will be units digit and 6 will be carried over;   For the second digit (tens place) we should add 29 2's --&gt; 29*2=58+6--  29*2= 
<gadget id="calculator">--  29*2</gadget>
<output>58</output>
58+6= 
<gadget id="calculator">58+6</gadget>
<output>64</output>
64, so 4 will be written for this digit and 6 will be carried over;   for third digit (hundreth) we should add 28 2's --28*2= 
<gadget id="calculator">--28*2</gadget>
<output>56</output>
56+6= 
<gadget id="calculator">56+6</gadget>
<output>62</output>
62 2 will be written 6 will be carried over...   2
<result>A</result>
S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the 3rd digit of p, counting right to left from the units digit?