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Mathematics in the Modern World
1RDT-A) | BATCH 2025
COLLEGE OF RADIOLOGY – FEU-NICANOR REYES MEDICAL FOUNDATION
TRANSCRIBED BY: Arota, Bicada, Dumanon, Enriquez,
Ladanga, Maraggun
LECTURER/S: Mr
...

REFERENCES: PPT, Handouts, Internet, textbook

PPT
Black

Professor
Mr
...


Textbook
Mathematics
in Modern
World

NATURE OF MATHEMATICS

1
2
3

4

WHAT IS MATHEMATICS?
Mathematics means many things to many
people
...

Mathematics is unique in that it can be both
tangible yet completely abstract
(intangible) at the same time
...
Though there
are many different tongues on the planet,
there’s one common form of mathematics
...
It has been shown that
some animals, e
...
, crows, demonstrate the
rudiments of counting
...

 Oscar--winning film A beautiful Mind
 Dan Brown’s Bestseller The Da Vinci Code
 Academy Award-winning film Good Will
Hunting
 The Bigbang Theory
 The Man who knew Infinity
 Note: {} = the set of / = element of

Nature of Mathematics
LOGIC PATTERNS
Pattern – is an arrangement which helps observers
anticipate what they might see or what happens next
...

 To construct or solve a pattern, find the rule
for the pattern, understand the nature of the
sequence , analyze the difference between the two
successive terms
...

Finite Sequence Function
Example:
っ
っ
Corresponding Sequence:
Infinite Sequence Function:
っ
っ
Example:
Corresponding Sequence: っ

BS RADIOLOGIC TECHNOLOGY| BATCH 2025

っ

っ

っ

っ

ARITHMETIC SEQUENCE
Arithmetic  Is a sequence for which any
Sequence element, except the first, can be
obtained by adding a constant to the
preceding element
...

Formula: The number of elements is
denoted by n, the first element is
denoted by a1, and the last element
is denoted by an
...

E
X
A
M
P
L
E
S:

(1)
Common Difference: 2
Solution:
っっ
Answer:

(2)What should be the next number?
っ
Common Difference: -2
−
Solution:
Answer:
(3) What should be the next number?
っ っっ っ
Common Difference: 5
Solution:
っ
っ
Answer:

Formula:

E
X
A
M
P
L
E
S:

Number Patterns
 the nth element of an Arithmetic
Sequence is given by:
っ
−っ

...

Given: っ
Find:
Solution:
−っ

( To get the constant addend: − っ )
 9-5=4 d=4

Answer:
っ っ
(2) Find the first element of an arithmetic

2
BS RADIOLOGIC TECHNOLOGY | BATCH 2025

sequence whose common difference is-5,
and whose eighteenth element is -21
...
)
 Therefore, っ
っ − っ −っ −
 っ − っ− っ −
 っ − っ−
Answer: っ

GEOMETRIC SEQUENCE
Geometric  Is a sequence such that any
Sequence element after the first can be
obtained by multiplying the
preceding element by a constant
...

Constant  Then the Constant Multiplier
Multiplier (common ratio) is 2 – “All the
(d)
number are multiplied by 2”
Formula: 
っ

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