# Numbers | Maths with Lemon

Source: https://mathswithlemon.io/aa-numbers-Arithmetic%20Sequences.html


## 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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