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grade 12 mathematics arithmetic ,geometric and quadratic series
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  • Course
  • Mathematics
  • Institution
  • 12th Grade

This document provides you with all your questions only based on arithmetic ,geometric and quadratic series. Practice the best way possible and attempt them

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Document information

  • May 16, 2023
  • 28
  • 2022/2023
  • Exam (elaborations)
  • Only questions

Subjects

  • grade 12 mathematics
  • arithmetic
  • geometric and quadratic series

Written for

  • 12th Grade
  • Mathematics
  • 200
All documents for this subject (427)

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MATHEMATICS
GRADE 12
ARITHMETIC, GEOMETRIC AND QUADRATIC
SERIES
WORKSHEET
PREPARED BY: Mr Boyce Matoti
(1) How many terms are in the following series?
[n = TOP(limit) – BOTTOM(limit) + 1]
 REMEMBER n cannot be negative or a fraction.
(a)
8
8
∑ 9( )𝑘−1
10
𝑘=1

(b)
9

∑(4𝑘 + 1)
𝑘=3

(c)
78

∑ 3. (4)6−𝑘
𝑘=5

(d)
5

∑(27. 3𝑘 )
𝑘=0

,(e)
𝑚

∑(24 − 3𝑡)
𝑡=3



(f)
𝑞

∑(3.21−𝑘 )
𝑘=2

(g)
∞
𝑥 − 1 𝑘−1
∑( )
2
𝑘=0

(h)
5

∑(27. 3𝑘 )
𝑘=0



(2) Determine the first three terms of each of the above series.


(3) Calculate the following:
(a)
6
1
∑ 12. ( )𝑛−1
2
𝑛=1

(b)
5
𝑘
∑( )
3
𝑘=3

, (c)
∞

∑ 5(3)1−𝑛 )
𝑛=3

(d)
52

∑ 7𝑛 + 1
𝑛=1

(e)
50

∑(100 − 3𝑘)
𝑘=1

(f)
∞

∑ 5(32−𝑘 )
𝑘=1

(g)
7

∑ 3(−2)𝑘
𝑘=1

(h)
16

∑ 2𝑞−3
𝑞=8



(i)
14
3
∑ 10(− )2−𝑘
2
𝑘=3

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