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
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.
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