Y2 Pure 3.1

Arithmetic sequences

Intro: arithmetic sequences

Finding the nth term

+D4-03 (e.g. 2300th term)

How many terms are there?

A sequences problem

4th term is 9, 20th term is 73

Y2 Pure 3.3

Geometric sequences

Solving 2^x less than 10^250

+B5-20

Intro: geometric sequences

Finding the nth term

of a geometric sequence

+D5-03 (example)

How many terms are there?

A sequences problem

3rd term is 16, 6th term is 1.024

Inequalities & considering negative ln(k)

Exponential inequalities:

solve 2^n less than 50^132

Exponential inequalities:

solve 0.98^n less than 0.2^100

Exponential inequalities: examples

Y2 Pure 3.5

Sum to Infinity

Intro: summing to infinity

+D5-09 (examples)

Words to algebra

2nd term is 4, sum to Infinity is 25

+D5-15 (exam-style Q)

Y2 Pure 3.7

Recurrence relations

Inductive definitions and recurrence relations

Finding the first five terms of an inductive definition

EXTENSION

The Logistic Map

Investigating limits of inductive definitions

Describing sequences

Intro: sigma notation