Toán Lớp 8: A = (3 + 1) (3^2 + 1) (3^4 + 1) … (3^64 + 1)
Giúp e vs
Rút gọn nhaa
Leave a reply
Register Now
Login
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 8: A = (3 + 1) (3^2 + 1) (3^4 + 1) … (3^64 + 1)
Giúp e vs
Rút gọn nhaa
Comments ( 2 )
Giải đáp:
$A=(3+1)(3^2+1)(3^4+1)…(3^{64}+1)$
$(3-1)A=(3-1)(3+1)(3^2+1)(3^4+1)…(3^{64}+1)$
$2A=(3^2-1)(3^2+1)(3^4+1)…(3^{64}+1)$
$2A=(3^4-1)(3^4+1)…(3^{64}+1)$
$2A=(3^8-1)(3^8+1)….(3^{64}+1)$
$2A=(3^{64}-1)(3^{64}+1)$
$2A=3^{128}-1$
$A=\dfrac{3^{128}-1}{2}$
Giải đáp:
Lời giải và giải thích chi tiết:
2A=2.(3+1)(3^2 +1)…(3^64 +1)
2A=(3-1)(3+1)..(3^64 +1)
2A=3^128 -1
A=[3^128 -1]/2