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10 cards from this deck
Sequence with constant difference between consecutive terms
Tn=a+(n−1)dT_n = a + (n - 1)dTn=a+(n−1)d
Sequence where second differences are constant
Tn=an2+bn+cT_n = an^2 + bn + cTn=an2+bn+c
Sequence with constant ratio between consecutive terms
Tn=arn−1T_n = ar^{n-1}Tn=arn−1
Sn=n2[a+l]S_n = \frac{n}{2}[a + l]Sn=2n[a+l]
Sn=a(1−rn)1−rS_n = \frac{a(1 - r^n)}{1 - r}Sn=1−ra(1−rn)
S∞=a1−rS_\infty = \frac{a}{1 - r}S∞=1−ra
−1<r<1-1 < r < 1−1<r<1
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