Practice Problems (Junior Cert Mathematics): Flashcards

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Common difference in a linear sequence

Difference between consecutive terms

Common difference of 3,8,13,18,23,...3, 8, 13, 18, 23, ...

55

General term formula for linear sequence

Tn=a+(n−1)⋅dT_n = a + (n-1) \cdot d

General term TnT_n for 3,8,13,18,23,...3, 8, 13, 18, 23, ...

Tn=5n−2T_n = 5n - 2

20th term of 3,8,13,18,23,...3, 8, 13, 18, 23, ...

9898

Term position of 7373 in 3,8,13,18,23,...3, 8, 13, 18, 23, ...

15th term

How to identify quadratic sequence

Second differences are constant

General form of quadratic sequence

Tn=an2+bn+cT_n = an^2 + bn + c

Finding aa in quadratic sequence

aa is half of second difference

General term TnT_n for 4,7,12,19,28,...4, 7, 12, 19, 28, ...

Tn=n2+3T_n = n^2 + 3

10th term of 4,7,12,19,28,...4, 7, 12, 19, 28, ...

103103

What constant 2nd differences indicate

Sequence is quadratic

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