数学高手请进!!!!!!!初一数学题
2-2^2-2^3-2^4-2^5-2^6-2^7-2^8-2^9-2^10=?
请写过程!!!!!!!!
谢谢!!!
参考答案:设n=2-2^2-2^3-2^4-2^5-……-2^9+2^10
=2+2^10-(2^2+2^3+2^4+2^5+……+2^9)
设x=2^2+2^3+2^4+2^5+……+2^9
2x= 2^3+2^4+2^5+……+2^9+2^10
上两式相减,得
x=2^10-2^2
n=2+2^10-x=2+2^2=6
2-2^2-2^3-2^4-2^5-2^6-2^7-2^8-2^9-2^10=?
请写过程!!!!!!!!
谢谢!!!
参考答案:设n=2-2^2-2^3-2^4-2^5-……-2^9+2^10
=2+2^10-(2^2+2^3+2^4+2^5+……+2^9)
设x=2^2+2^3+2^4+2^5+……+2^9
2x= 2^3+2^4+2^5+……+2^9+2^10
上两式相减,得
x=2^10-2^2
n=2+2^10-x=2+2^2=6