PRELIM 01 - Sequences and Series, Nature of Math Flashcards
Is a succession of numbers (called terms) that follow a given rule
Sequence
A recurrence relation together with the first term of a sequence
Inductive definition
In __________, the difference between any two consecutive terms is always the same
Arithmetic sequence
Other name for arithmetic sequence
Arithmetic progression
The sum of all the terms of a sequence
Series
A famous mathematician that was asked by his teacher to add together every whole number from one to a hundred
Karl Friedrich Gauss
Greek symbol that means ‘the sum of’
Σ (sigma)
The sum of the terms of an infinite geometric sequence
Geometric series
Is a sequence of quantities whose reciprocals form an arithmetic progression
Harmonic progression
The ancient Greeks considered the __________ to be the most aesthetically pleasing of all rectangular shapes
Golden rectangle
The golden rectangle was used many times in the design of the famous Greek temple, the __________
Parthenon
Mathematician who realized the advantages of the Hindu-Arabic system
Fibonacci
Place where Fibonacci was born
Pisa, Italy
Year when Fibonacci was born
1175 AD
Full name of Fibonacci
Leonardo of Pisa/Leonardo Bigollo