WISKUNDE
GRAAD 12
NOG OEFENINGE
Rekursiewe formules.
MATHEMATICS
GRADE 12
MORE EXERCISES
Recursive formulae.
1. Bepaal die volgende twee terme van die ry met
algemene formule
1.1 T1 = 8 en Tn + 1 = Tn + 3 vir n ≥ 1
1.2 T1 = 18 en Tn + 1 = Tn + 8 vir n ≥ 1
1.3 T1 = 34 en Tn + 1 = Tn − 5 vir n ≥ 1
1.4 T1 = −18 en Tn + 1 = Tn + 3 vir n ≥ 1
1.5 T1 = 21 en Tn + 1 = Tn − 8 vir n ≥ 1
1.6 T1 = 13 en Tn + 1 = Tn − 9 vir n ≥ 1
1.7 T1 = 7 , T2 = 11 en Tn + 2 = Tn + 1 + Tn vir n ≥ 1
1.8 T1 = 18 , T2 = 14 en Tn + 2 = Tn + 1 − Tn vir n ≥ 1
1. Determine the next two terms of the sequence having
the general formula
1.1 T1 = 8 and Tn + 1 = Tn + 3 for n ≥ 1
1.2 T1 = 18 and Tn + 1 = Tn + 8 for n ≥ 1
1.3 T1 = 34 and Tn + 1 = Tn − 5 for n ≥ 1
1.4 T1 = −18 and Tn + 1 = Tn + 3 for n ≥ 1
1.5 T1 = 21 and Tn + 1 = Tn − 8 for n ≥ 1
1.6 T1 = 13 and Tn + 1 = Tn − 9 for n ≥ 1
1.7 T1 = 7 , T2 = 11 and Tn + 2 = Tn + 1 + Tn for n ≥ 1
1.8 T1 = 18 , T2 = 14 and Tn + 2 = Tn + 1 − Tn for n ≥ 1
2. Skryf rekrsiewe formules vir die volgende rye :
2.1 18; 23; 28; . . .
2.2 33; 39; 45; . . .
2.3 57; 53; 49; . . .
2.4 35; 29; 23; . . .
2.5 −23; −17; −11; . . .
2.6 −3; −8; −13; . . .
2. Write down recursive formulae for the
following sequences :
2.1 18; 23; 28; . . .
2.2 33; 39; 45; . . .
2.3 57; 53; 49; . . .
2.4 35; 29; 23; . . .
2.5 −23; −17; −11; . . .
2.6 −3; −8; −13; . . .