Question

Rút gọn A

A = 1 + 2¹ + 2² + ... + 2⁹⁹ + 2¹⁰⁰

Answer 1

Trả lời

A = 1 + 2¹ + 2² + ... + 2⁹⁹ + 2¹⁰⁰ 

2A = 2 + 2² + 2³ + ... + 2¹⁰⁰ + 2¹⁰¹

2A - A = A = ( 2 + 2² + 2³ + ... + 2¹⁰⁰ + 2¹⁰¹ ) - ( 1 + 2¹ + 2² + ... + 2⁹⁹ + 2¹⁰⁰ )

A = 2¹⁰¹ - 1

Answer 2

\(A=1+2^1+2^2+...+2^{99}+2^{100}\)

\(2A=2+2^2+...+2^{100}+2^{101}\)

Ta có:\(2A-A=\left(2^1+2^2+...+2^{100}\right)-\left(1+2^1+2^2+...+2^{101}\right)\)

\(A=2^{101}-1\)

#hok tốt#

Answer 3

Trả lời :

A = 2¹⁰⁰ - 1

~ Hok tốt ~

Answer 4

Trả lời:

A=2^100-1

~ Học tốt ~

=))