1加2加2的平方加2的立方一直加到2的一百次方=?

1＋2＋2²＋2³＋2^(4)＋2^(5)＋………………＋2^(100)原式＝[1＋2²＋2³＋2^(4)＋2^(5)＋………………＋2^(100)]＋2前面 1＋2²＋2³＋2^(4)＋2^(5)＋………………＋2^(100) 此题是个规律题；可令S＝1＋2²＋2³＋2^(4)＋2^(5)＋………………＋2^(100) 则 2S＝2²＋2³＋2^(4)＋2^(5)＋………………＋2^(100) ＋2^(101)∵2S－S＝S＝2^(101)－1即 1＋2＋2²＋2³＋2^(4)＋2^(5)＋………………＋2^(100)原式＝S＋2＝2^(101)－1＋2＝2^(101)＋1回答完毕,