Question

[Akira]

C=2¹ + 2² + 2³ + ... + 2⁹⁸ + 2⁹⁹ +2¹⁰⁰

Giúp mik với mọi người ơi

Answer 1

[HT.Phong (9A5)]

\(C=2+2^2+2^3+...+2^{100}\\ 2C=2^2+2^3+2^4+...+2^{101}\\ 2C-C=\left(2^2+2^3+2^4+...+2^{101}\right)-\left(2+2^2+2^3+...+2^{100}\right)\\ C=2^{101}-2\)

Answer 2

[Phạm Trần Hoàng Anh]

C = \(2+2^2+...+2^{100}\)

2C =\(2^2+2^3+...+2^{101}\)

2C - C = \(\left(2^2+2^3+...+2^{101}\right)-\left(2+2^2+...+2^{100}\right)\)

C = \(2^{101}-2\)