Re: [中學] 學校段考題,有3題不會@@"
※ 引述《jenshi (小旭)》之銘言:
: http://imgur.com/a/WMShj
G.直接算還是比較快
1 + 4 + 7 + ... + [1 + 3(k - 1)]
= (1/2)[3k - 1]k
58 = 1 + 3(n - 1) = 3n - 2
=> n = 20
20
Sigma (1/2)[3k - 1]k
k=1
20 20
= (1/2) [ 3 Sigma k^2 - Sigma k ]
k=1 k=1
= (1/2) [ 3 (1/6) 20 * 21 * 41 - (1/2) * 20 * 21]
= 4200
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