Question

A=1+2+2 mũ 2+2mũ 3+.....+2 mũ 30

Viết A+1 dưới dạng 1 lũy thừa

Answer 1

\(A=1+2+2^2+2^3+....+2^{30}\)

\(2.A=2+2^2+2^3+2^4+...+2^{30}\)

\(2.A-A=\left(2+2^2+2^3+2^4+...+2^{31}\right)-\left(1+2+2^2+2^3+...+2^{30}\right)\)

\(A=2^{31}-1\)

\(\Rightarrow A+1=2^{31}-1+1\)

\(\Rightarrow A+1=2^{31}\)

Answer 2

2 mũ 31

Answer 3

A=1+2+2²+2³+2⁴+2⁵+2⁶+2⁷+2⁸+2⁹+2¹⁰.....+2³⁰

2.a=2+2²+2³+2⁴+2⁵+2⁶.....+2³⁰

2.A-A=

(2+2²+2³+2⁴+2⁵+2⁶+2⁷+2⁸+2⁹+2¹⁰+2¹¹+2¹²+2¹³.....2³¹)

_

(1+2+2²+2³.....+2³¹)

A

=2³¹-1

=>A+1=2³¹-1+1

=>A+1=2³¹

Chúc bạn học tốt nhé

Answer 4

Cảm ơn các bạn

Answer 5

thank you các bạn