Practice Problems (Junior Cert Mathematics): Flashcards

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Common difference in a sequence

Difference between consecutive terms

Common diff. for 3,8,13,18,23,…3, 8, 13, 18, 23, \dots

55

General term formula for linear sequence

Tn=a+(n−1)⋅dT_n = a + (n-1) \cdot d

General term for 3,8,13,18,23,…3, 8, 13, 18, 23, \dots

Tn=5n−2T_n = 5n - 2

20th20th term of 3,8,13,18,23,…3, 8, 13, 18, 23, \dots

9898

Which term = 7373 in 3,8,13,18,23,…3, 8, 13, 18, 23, \dots

15th15th term

How to identify quadratic sequence

Constant (equal) second differences

General form of quadratic sequence

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

How to find aa in quadratic sequence

aa = half of second difference

General term for 4,7,12,19,28,…4, 7, 12, 19, 28, \dots

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

10th10th term of 4,7,12,19,28,…4, 7, 12, 19, 28, \dots

103103

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