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51问答网 > 1+7+7的2次方+7的3次方一直加到7的2004次方是多少

1+7+7的2次方+7的3次方一直加到7的2004次方是多少

2025-03-15 10:18:14

推荐回答（2个）

回答1：

[7的2006次方-1]/6
当a不等于1时,
Sn+1 =1+a+a^2+a3+...+a^n (共有n+1 项)
=[1-a^(n+2)]/(1-a) (等比数列求和公式 Sn=(1-q^n)/1-q (q≠1)
当a=1时,
S=1+1+1+……+1（(n+1)个1相加）=n+1

等比数列求和公式导出，求采纳

回答2：

7的0次方一直加到7的2004次方。等比数列，q=7，带入公式既可以得出。

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