# 等差数列求和

已知首项末项,和项数,或者已知 dd 和项数求和

Sn=12n(a1+an)=d2n2+(a1d2)n S_n = \cfrac{1}{2}n(a_1 + a_n) = \cfrac{d}{2}n^2 + (a_1 - \cfrac{d}{2})n

# 等比数列求和公式

Sn=na1(q==1)S_n = n * a1(q == 1)
Sn=a1×1qn1q=a1an×q1q(q1)S_n = a_1\times \cfrac{1-q^n}{1-q} = \cfrac{a_1 - a^n \times q}{1-q} (q \neq 1)

# 其他

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