Bạn tham khảo :
$S = 1 + 2^1 + 2^3 + 2^5 + 2^7 +... + 2^{99} + 2^{101}$
$4S = 2^2 + 2^3 + 2^7 + ... + 2^{101} + 2^{103}$
$4S -S = ( 2^2 + 2^3 + 2^7 + ... + 2^{101} + 2^{103}) - (1 + 2^1 + 2^3 + 2^5 + 2^7 +... + 2^{99} + 2^{101})$
$3S = 2^{101} - 2^2 - 2^5$
$S = \dfrac{2^{101} - 2^2 - 2^5}{3}$