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2014-10-23T09:32:20+03:00
A )  S= 1+6+6² +.......+6^2013        6S = 6+6² +6³ +..............+6^2014
6S - S = 5S =6^2014 - 1 ⇒ S = (6^2014 - 1)/5
b
) 29^501 = 29^500 ×29 = (4+25)29^500 = 2² ·29^500 +5² ·29^500 =
 [2·29^250 ]² + [5·29^250 ]²
3 5 3