Maths Worksheet - Geometric Series (answers)
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SAEP Matric Success – Zisukhanyo Maths Worksheet Tuesday 17th March 2009 Number patterns – Geometric series - ANSWERS 1. Study & Master (Higher Grade). Test 11B, Q2 2,6 2. Study & Master (Higher Grade). Test 11B, Q15 a) 2n b) 2n – 1 c) Tn + 1 – Sn = 2 n – (2n – 1) = 1 3. Classroom Mathematics, Ex 1.11, Q3 320 – 1 or ½(320 – 1) 4. Classroom Mathematics, Ex 1.11, Q4 6,75 5. Classroom Mathematics, Ex 1.11, Q7 r = 2/3; n = 4 6. Classroom Mathematics, Ex 1.14, Q1 a) 8 3/4 (= 8,75) c) 6 2/3 x e) 3/2 g) 27/5
b) 81 9/11 d) 15 3/7 f) 5/4 h) 4/3
7. Study & Master (Higher Grade). Test 11A, Q5 4/5 8. Study & Master (Higher Grade). Test 11B, Q23 (23.1-23.3) a) 4; 0,8; 0,16. (A GP with a = 4 and r = 0,2) b) S n =
(
a (1 − r n ) 1 − ( 0,2 ) =4 1− r 0,8
n
)
9. Classroom Mathematics, Ex 1.14, Q8 8m
c) 5
b) 81 9/11 d) 15 3/7 f) 5/4 h) 4/3
7. Study & Master (Higher Grade). Test 11A, Q5 4/5 8. Study & Master (Higher Grade). Test 11B, Q23 (23.1-23.3) a) 4; 0,8; 0,16. (A GP with a = 4 and r = 0,2) b) S n =
(
a (1 − r n ) 1 − ( 0,2 ) =4 1− r 0,8
n
)
9. Classroom Mathematics, Ex 1.14, Q8 8m
c) 5
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