Đặt A=2^100 - 2^99 + 2^98 - 2^97 +...+2^2-2
=>2A=2101-2100+299-298+...+23-22
=>2A+A=2101-2100+299-298+...+23-22+2100-299+298-297+...+22-2
=>3A=2101-2
=>A=\(\frac{2^{101}-2}{3}\)
2^100-2^99+2^98-2^97+...+2^2-2
3^100-3^99+3^98-3^97+...+3^2-3+1
Giúp với các bạn ơi!!!
Tính:
a) A=2^100 - 2^99 + 2^98 - 2^97 + ... + 2^2 - 2
b) B=3^100 - 3^99 + 3^98 - 3^97 + ... + 3^2 - 3
Rút gọn biểu thức
b) B=2^100-2^99+2^98-2^97+...+2^2-2
c) C=3^100-3^99+3^98-3^97+...+3^2-3+1
thu gọn các tổng :
A=2^100 - 2^99 +2^98 - 2^97 +...+ 2^2 - 2
B= 3^100 - 3^99 + 3^98 - 3^97 +...+ 3^2 - 3 +1
Thu gọn tổng sau:
a) A=1+3+3^2+...+3^100
b) B=2^100-2^99+2^98-2^97+...+2^2-2
c) C=3^100-3^99+3^98-3^97+...+3^2-3+1
1.Rút gọn:
\(A=2^{100}-2^{99}+2^{98}-2^{97}+...+2^2-2\)
\(B=3^{100}-3^{99}+3^{98}-3^{97}+...+3^2-3\)
Rút gọn :
\(A=2^{100}-2^{99}+2^{98}-2^{97}.............+2^2-2\)
\(B=3^{100}-3^{99}+3^{98}-3^{97}.........+3^2-3+1\)
Rút gọn:
a/ A=2^100-2^99+2^98-2^97+............+2^2-2
b/ B=3^100-3^99+3^98-3^97+..............+3^2-3+1
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Tính
S=1+2-3-4+5+6-7-8+9+10-11-12+........+97+98-99-100
A=2100-299+298-297+......+22-2
Rút gọn:
a) \(A=2^{100}-2^{99}+2^{98}-2^{97}+...+2^2-2\)
b) \(B=3^{100}-3^{99}+3^{98}-3^{97}+...+3^2-3+1\)
