Formulae/Concepts Needed:
> General term of an arithmetic sequence or progression
> Formula for the sum of an arithmetic series
> General term of a geometric sequence or progression
> Formula for the sum of a finite geometric series
> Formula for the sum to infinity of an infinite geometric series
> The Pascal's triangle
> The binomial expansion theorem
Here is the copy of the practice exercises on Sequences, Series and Binomial Expansion [Part 2]. The file contains five (10) items. It contains:
- Problems on Arithmetic Progression and Series
- Problems on Geometric Progression and Series
- Problems on Binomial Expansion
For your reference, you may watch the playlist on sequences and series. The video will help you recall the notations and terms used for arithmetic progressions.
>>> VIDEO LINK HERE<<<
For the complete list of the past paper items on sequences, series and binomial expansion, you may download on the following link:
You may also want to answer the other collection of past paper items on sequences and series here:
Your comments and suggestions are welcome here. Write them in the comment box below. Thank you and God bless!
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ANSWER KEY:
ReplyDelete1) -84
2) 95
3)(i) a = 100, d = -5
(ii) m = 20
(iii) n = 41
4) 47
5) --show--
6)(i) d = -1/2
(ii) 32
(iii) 50
7)(i) 64 - 192x + 240x^2
(ii) a = 3
8)(i)32 + 80u + 80u^2
(ii) 160
9)(i) x=96
(ii)432
10)(i)775 kg
(ii)17600 kg
(iii) 20000 kg