30可以这样得到1+3=4×2=8+2=10×=30 证明 可以得到2∧100+2∧97-2
1个回答
(1) 1 + 2 = 3,3*3 = 9,9*2 = 18,18 + 2 = 20,20 + 2 = 22.
(2) 2^100 + 2^97 - 2 = 2[2^96 - 1] + 2^100
= 2[1 + 2 + 2^2 + ...+ 2^95] + 2^100
= 2 + 2^2 + 2^3 + ...+ 2^96 + 2^100
1*2 = 2
2 + 2 + 2 = 2 + 2^2
2 + 2^2 + 2 + 2 + 2 + 2 = 2 + 2^2 + 2^3
...
2 + 2^2 + 2^3 + ...+ 2^95 + 2 + 2 + ...+ 2 [ 2^95 个 2相加]
= 2 + 2^2 + 2^3 + ...+ 2^95 + 2^96
2 + 2^2 + 2^3 + ...+ 2^96 + 2 + 2 + ...+ 2 [2^99 个2相加]
= 2 + 2^2 + 2^3 + ...+ 2^96 + 2^100
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