7C=7^1+7^2+7^3+.....+7^2007+7^2008
lấy 7C-C=7^2008-1
6C=7^2008-1
C=(7^2008-1):6
\(C=1+7+7^2+7^3+...+7^{2007}\)
\(7C=7.\left(1+7+7^2+7^3+...+7^{2017}\right)\)
\(7C=7+7^2+7^3+7^4+...+7^{2008}\)
\(7C-C=\left(7+7^2+7^3+7^4+...+7^{2008}\right)-\left(1+7+7^2+7^3+...+6^{2006}\right)\)
\(6C=7^{2008}-1\)
\(C=\dfrac{7^{2008}-1}{6}\)