B = \(1+2+2^2+2^3+2^4+2^5+-.+2^{17}+2^{18}+2^{19}\)
=\(\left(1+2+2^2\right)+\left(2^3+2^4+2^5\right)+-.+\left(2^{17}+2^{18}+2^{19}\right)\)
=\(1.\left(1+2+2^2\right)+2^3.\left(1+2+2^2\right)+-.+2^{17}.\left(1+2+2^2\right)\)
=\(1.\left(7\right)+2^3.\left(7\right)+-..2^{17}.\left(7\right)\)
=\(\left(1+2^3+-.+2^{17}\right).7\)Thì chia hết cho 7 và không có dư
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