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10 cards from this deck
Constant difference between consecutive terms
an=a1+(n−1)da_n = a_1 + (n-1)dan=a1+(n−1)d
Sn=n2(2a1+(n−1)d)S_n = \frac{n}{2}(2a_1 + (n-1)d)Sn=2n(2a1+(n−1)d)
Constant that multiplies previous term
an=a1rn−1a_n = a_1 r^{n-1}an=a1rn−1
Sn=a1(1−rn)1−rS_n = \frac{a_1(1-r^n)}{1-r}Sn=1−ra1(1−rn)
S∞=a11−rS_\infty = \frac{a_1}{1-r}S∞=1−ra1
∣r∣<1|r| < 1∣r∣<1
Sn=n2(a1+an)S_n = \frac{n}{2}(a_1 + a_n)Sn=2n(a1+an)
Arithmetic sequence
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