Maths with Lemon

Arithmetic sequences

"Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform."

Bertrand Russell

Arithmetic Sequences

What you have to know:

You must be able to manipulate simple algebraic expressions
(If not, check this lesson)
You must be able to solve simultaneous equations
(If not, check this lesson)

Key Points

1. Watch the video:

2. Check these notes as a revision for arithmetic sequences
2. Read this presentation with some solved examples(Contains also Sums)
3. Watch this video about the recursive formula of arithmetic sequences.

Quadratic Sequences

What you have to know:

How to find the nth term of an Arithmetic Sequence

Key Points

1. Watch the video:

Solved problem on Arithmetic sequences

What you have to know:

How to find the nth term of an Arithmetic Sequence

Key Points

1. Watch the video:

Extra

Material and references:

Hodder Book SL(ISBN: 9781510462359) :
2A

Key Points

1. You should know the formula for the \( n \)th term of an arithmetic sequence: \[ u_n = u_1 + (n - 1)d. \]
2. You should know the two versions of the formula for the sum of the first \( n \) terms of an arithmetic sequence: \[ S_n = \frac{n}{2}\bigl(2u_1 + (n - 1)d\bigr) \] or
\[ S_n = \frac{n}{2}(u_1 + u_n). \]

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