Maths Worksheet - Series & Sequences (answers)

SAEP Matric Success – Zisukhanyo Maths Worksheet Tuesday 10th March 2009 Number patterns – Series/sequences – Arithmetic - ANSWERS 1. Classroom Mathematics. Ex 1.2, Q1 a, d, g, i, k a) 5; 6; 7; 8; T10 = 14 b) -1/3; 1/9; -1/27; 1/81; T10 = (-1/3)10 = 1/59049 c) -2; 4; -8; 16; T10 = (-2)10 = 1024 d) 5; 3; 1; -1; T10 = -13 e) 1; 3; 9; 27; T10 = 19683 2. Classroom Mathematics. Ex 1.4, Q1 a) 34; 67 b) -20,5; -48 c) 13 + 25x; 24 + 47x d) 3 2/3; 7 1/3 3. Classroom Mathematics. Ex 1.4, Q3 a) 13 b) 13

c) 20

d) 26

4. Classroom Mathematics. Ex 1.4, Q4 a) 4; 7; 10 b) 10,2; 9; 7,8 c) 7 + x; 7 + 3x; 7 + 5x d) -1; -5; -9 5. Study & Master (Higher Grade). Test 11B, Q3 a) d = (q – p)/3 b) 5p + 5q 6. Study & Master (Higher Grade). Test 11B, Q5 a = 0 or a = 29 7. Study & Master (Higher Grade). Test 11B, Q6 a) 13 b) T4 = 15 or T4 = 11 8. Study & Master (Higher Grade). Test 11A, Q1 3/4 9. Study & Master (Higher Grade). Test 11A, Q2 -4/3 10. Classroom Mathematics. Ex 1.7, Q1 (a-c) a) 12 + 22 + 32 + 42 + 52 b) 1/3 + 2/4 + 3/5 + 4/6 + 5/7 + 6/8 2 3 4 5 c) 2 + 2 + 2 + 2 11. Classroom Mathematics. Ex 1.7, Q2 (a-d) (there are many possible correct answers) 6

7

a) ∑r r =1 10

c)

1

∑r r =1

b)

∑r r =1

20

d)

r

∑ r +1 r =1

2