Register Now

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Toán Lớp 6: 1/5 mũ 0+1/5 mũ 1+1/5 mũ 2+-+1/5 mũ 100

Home/ Toán Lớp 6: 1/5 mũ 0+1/5 mũ 1+1/5 mũ 2+-+1/5 mũ 100

Toán Lớp 6: 1/5 mũ 0+1/5 mũ 1+1/5 mũ 2+-+1/5 mũ 100

Hoa Tháng Mười Hai 2, 2022 Toán học 2 Comments 0 views

Toán Lớp 6: 1/5 mũ 0+1/5 mũ 1+1/5 mũ 2+….+1/5 mũ 100

Comments ( 2 )

minhtamnguyet88
2 Tháng Mười Hai, 2022 at 12:55 sáng

Reply

Đặt: A=1/5^0+1/5^1+1/5^2+…+1/5^100

A=1+1/5+1/5^2+…+1/5^100

=>5A=5(1+1/5+1/5^2+…+1/5^100)

5A=5+1+1/5+…+1/5^99

=>5A-A=(5+1+1/5+…+1/5^99)-(1+1/5+1/5^2+…+1/5^100)

4A=5+1+1/5+…+1/5^99-1-1/5-1/5^2-…-1/5^100

4A=5-1/5^100

4A=(5^101-1)/5^100

=>A=(5^101-1)/5^100:4

A=(5^101-1)/5^100 . 1/4

A=(5^101-1)/(5^100 .4)

Vậy 1/5^0+1/5^1+1/5^2+…+1/5^100=(5^101-1)/(5^100 .4)
hiennhi98
2 Tháng Mười Hai, 2022 at 12:55 sáng

Reply

Giải đáp + Lời giải và giải thích chi tiết:

Đặt A=1/5^0+1/5^1+1/5^2+…+1/5^100

=>A=1+1/5+1/5^2+…+1/5^100

=>5A=5+1+1/5+…+1/5^99

=>5A-A=(5+1+1/5+…+1/5^99)-(1+1/5+1/5^2+…+1/5^100)

=>4A=5-1/5^100

=>4A=(5^101-1)/(5^100)

=>A=(5^101-1)/(5^100):4

=>A=(5^101-1)/(5^100). 1/4

=>Â=(5^101-1)/(4.5^100)

Leave a reply

About Hoa