IB Maths AI 1.2 Definitions

This page contains our IB Maths AI definitions for 1.2. By learning each one of these definitions, you will fully cover the content for IB Maths AI 'Arithmetic sequences'.

All Topic 1 Sub-topics 1.1: Scientific Notation 1.2: Arithmetic Sequences 1.3: Geometric Sequences 1.4: Interest 1.5: Introduction To Exponents & Logs 1.6: Handling Numbers 1.7: Use Of Technology (HL)1.8: Advanced exponents & logs (HL)1.9: Introduction to complex numbers (HL)1.10: Advanced complex numbers (HL)1.11: Introduction to matrices (HL)1.12: Advanced matrices

common

Describes a logarithm with base

10

, written as

\log x

consecutive

Next to each other in order, such as

u_n

and

u_{n+1}

index

The variable that counts through the terms in sigma notation, such as

k

\sum_{k=1}^{n}u_k

notation

A system of symbols used to represent mathematical ideas concisely, such as sigma notation for adding terms.

sequence

An ordered set of steps written so that each line follows logically from the previous one.

series

A sum of terms written in a continuing pattern, such as $1+nx+\frac{n(n-1)}{2!}x^2+\dots$ , which may be infinite when $n$ is not a positive integer.

sigma

A summation symbol used to write a series compactly, for example

(a+b)^n=\sum_{r=0}^{n}{}^nC_r a^{n-r}b^r

means add the terms for all integer values of

r

from

0

n

term

A single value in a sequence, such as

u_1

u_n

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