1.(2+1)(2²+1)······(2的2n方+1)2.100²-99²+98²-97²····+2²-1²
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![1.(2+1)(2²+1)······(2的2n方+1)2.100²-99²+98²-97²····+2²-1²](/uploads/image/z/1273475-11-5.jpg?t=1.%EF%BC%882%2B1%EF%BC%89%EF%BC%882%26%23178%3B%2B1%EF%BC%89%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%EF%BC%882%E7%9A%842n%E6%96%B9%2B1%EF%BC%892.100%26%23178%3B-99%26%23178%3B%2B98%26%23178%3B-97%26%23178%3B%C2%B7%C2%B7%C2%B7%C2%B7%2B2%26%23178%3B-1%26%23178%3B)
1.(2+1)(2²+1)······(2的2n方+1)2.100²-99²+98²-97²····+2²-1²
1.(2+1)(2²+1)······(2的2n方+1)
2.100²-99²+98²-97²····+2²-1²
1.(2+1)(2²+1)······(2的2n方+1)2.100²-99²+98²-97²····+2²-1²
1,(2-1)(2+1)(2²+1)······(2的2n方+1)
=(2²-1)······(2的2n方+1)
=2的4n方-1
2.100²-99²+98²-97²····+2²-1²
=(100+99)(100-99)+(98+97)(98-97)+.+(2+1)(2-1)
=100+99+98+...+3
=5047
1.(2+1)(2²+1)……(2^(2n)+1)
=(2-1)(2+1)(2²+1)……(2^(2n)+1)
=(2^2-1)(2²+1)……(2^(2n)+1)
=(2^4-1)……(2^(2n)+1)
=2^(4n)-1
2.100²-99²+98²-97²····+...
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1.(2+1)(2²+1)……(2^(2n)+1)
=(2-1)(2+1)(2²+1)……(2^(2n)+1)
=(2^2-1)(2²+1)……(2^(2n)+1)
=(2^4-1)……(2^(2n)+1)
=2^(4n)-1
2.100²-99²+98²-97²····+2²-1²
=(100+99)(100-99)+(98+97)(98-97)+……+(2+1)(2-1)
=199+195+……+3
=(199+3)×50÷2
=5050
收起
1.(2+1)(2²+1)······(2的2n方+1)
=(2-1)(2+1)(2²+1)······(2的2n方+1)
=2^4n-1