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10 cards from this deck
Sequence: ordered list; Series: sum of terms
Sequence with constant difference between consecutive terms
The constant difference between consecutive terms
Tn=a+(n−1)dT_n = a + (n-1)dTn=a+(n−1)d
x=a+b2x = \frac{a + b}{2}x=2a+b (middle term is average)
Sequence with constant ratio between consecutive terms
The constant ratio between consecutive terms
Tn=arn−1T_n = ar^{n-1}Tn=arn−1
x2=abx^2 = abx2=ab (middle term squared equals product)
When ∣r∣<1|r| < 1∣r∣<1 (i.e., −1<r<1-1 < r < 1−1<r<1)
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