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Lessons offered by Sinethemba

- Individual

The lessons will be held

Taught subjects

- Maths

Levels

- All Levels

I want students to understand the basics first eg:Unit 1: Arithmetic sequences

We define an arithmetic sequence as follows

a , a+d; a+2d; a+3d; a+4d; a+(n-1)d

a the value of the first term

d is the common difference between terms, d=t2-t1=t3-t2=tn-tn-1

Tn is the value of the term position n, so Tn=a+(n-1)d

n is the position of a term and can only be positive whole number, also known as a natural number

Consider the arithmetic sequence 3; 7; 11;15;…….99

T1=3, T2=7, T3=11

d1=T2-T1=7-3=4 , d2=T3-T2=11-7=4, d3=T4-T3=15-11=4

Since d1=d2=d3 we have a common difference of 4

The first term is given by a=3 and the common difference is given by d=4

We use a and d to determine the nth term formula in the sequence

Tn=a+(n-1)d

Tn=3+(n-1)4

Tn=3+4n-4

Tn=4n-1

To prove that the formula is correct, you can check the formula by substituting n=1 to obtain the value of T1 and n=2 to obtain the value of T2 and so on

If n =1, then T1=4(1)-1=3

If n=2, then T2=4(2)-1=7

If n=3, then T3=4(3)-1=11

Tn=4n-1 is a correct formula and can be used to determine the position of any term in the sequence

I'm a Mechanical Engineering Technician I understand grade 12 maths chapters very well which are Patterns, Sequences and Series

Functions and Interverse Functions

Exponential and Logarithmic Functions

Finance, Growth and Decay

Trigonometry: Compound and Double Angle Identities

Trigonometry: Problem Solving in Two and Three Dimentions

Polynomials

Differential Calculus

Analytical Geometry

Euclidean Geometry

Statistics

Counting Principles and Probability

Rate for online lessons : R100/h

Taught subjects

- Maths

Levels

- All Levels

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