MORDEN, BABYLYN L.
Brgy. CodCod, San Carlos City, Negros Occidental
09269263469
GE 4 MWF 5:00-6:00pm
Bring Home Assignment
Assignment No: 1
I.
Answer the following.
1. What is the 8th term of the Fibonacci Sequence?
Answer: 21
2. What is the 16th term of the Fibonacci Sequence?
Answer: 987
3. What is the 50th term of the Fibonacci Sequence?
Answer: 12,586,269,025
4. What is the next term of the sequence 1, 4, 9, 16, 25, 36, 49,…
Answer: 64, 81, 100,...
5. What is the missing number in the sequence 3, 5, 9, ___, 15, 23, 33?
Answer: 15
6. What is the next three terms of the sequence 10, 9, 7, 4, 0, …?
Answer: -5, -11, -19
7. What is the missing number in the sequence -10, -6, -2, ____, 6, 10?
Answer: 2
8. What is the missing number in the sequence_____,21, 18, 15, 12, 9?
Answer: 24
9. Describe the nature of the number pattern 88, 77, 55, 22,…
Answer: SHRINKING
10. How are each terms related to one another in the sequence 2, 90, 4, 87, 6,
12, 8, 51, 10?
Answer: -3x15, -3x13
II.
Write a short essay about why Mathematics is Indispensable.
Maththematics is indispensable, for it helps enhance our problem-solving skills
which we need to deal with for our daily living. It helps us think analytically and
have better reasoning abilities. Reasoning is our ability to think logically about a
specific situation. Analytical and reasoning skills are essential because they help
us solve our problems and look for the best solutions. Math is absolutely
necessary in our lives and we use mathematical concepts without realizing it, as
well as the skills we learn from doing math problems every day.
III.
Write a two to three-page synthesis paper focusing on one of the following
aspects of Mathematics:
a) Mathematics helps organize patterns and regulations in the world.
b) Mathematics helps predict the behavior of nature and phenomena in the
world.
c) Mathematics helps control nature and occurrences in the world for our
own ends.
MATHEMATICS HELPS ORGANIZE PATTERNS AND REGULATIONS IN THE WORLD
Math is everywhere. Whether you like mathematics or not, math is all around wherever we are.
Math is visible in almost everything in this world, whether living or non-living things. Each
patterned object is precisely placed by the artist into a static display. However, some patterns
and placement of design in nature do not come from an artist's hand or human made but from
the connected and dynamic interactions of natural objects in both space and time. Everything
in the world can be presented in terms of math. Math is indeed the language of nature.
There are countless examples of mathematical patterns in the world. It can be found in nature's
fabric which snails make their shells, spiders design their webs, and bees build hexagonal
combs. Nature is full of patterns, such as the Fibonacci sequence, a series of numbers in which
each number is the sum of the previous two numbers. For instance, Fibonacci numbers are
found in almost any flowers. Sunflowers have the seeds in perfect Fibonacci order. From one
seed and the two seeds, three seeds, six seeds, twelve seeds, twenty four seeds and so on in
the flowers. If You take the number of petals in a flower, they all follow a mathemathical order.
According to Tegmark, who loves mathematics, "There's an elegant simplicity and beauty in
nature revealed by mathematical patterns and shapes, which our minds have been able to
figure out." The mathematical structure found in the natural world shows that math exists in
reality, not just in the human mind. That explains about a river flowing through a landscape, it
has Pi in it. As well as big pyramids have Pi. The Egyptians didn't know Pi at first, but later on
they learned from experience from building it. The non living world also behaves in a
mathematical way. Lottery is pure math. If You scratch the numbers and win excactly what you
just spent, most of us don't count our losses and all what we are thinking was we were lucky
getting a new lottery ticket because it's free. Google on the hand is pure math. The search
engine is based on an algorithm. That's why companies buys data. That's what we called
business and they want to be even more precise to persuade everyone through targeting us
with adds. They can predict what your income and intersts are based from your search patterns
even down to the user's temper and personality.
All the stated examples are incredible how the use of math is shown in nature. We live in a
world where the beauty of math is beyond everything we see, an object or a structure and
whatever this world is made up of. It helps us understand the wolrd where we are living in
better. Maybe that's the fascinating thing about math. Everything in the universe is made of
math including us, as a human being. We humans have discovered a lot of additional recurring
shapes and patterns in nature, wherever our pair of eyes land at something, we can see the
visibility of mathematical patterns.
Assignment No: 2
Write the letter of your choice on the blank provided before each number.
C
1. It refers to a well-defined collection of objects.
A. Elements
C. Set
B. Members
D. Universe
B 2. A set whose elements are limited and the last element can be identified
as___set.
A. a finite
C. a universal
B. Finite
D. an empty
A 3. How do you call a set with no elements?
A. Empty
C. Unit
B. Finite
D. Universal
For the numbers 1 to 7, identify the property involved on each equation.
A. Associative Property
B. Closure Property
C. Identity Property
D. Inverse Property
D
A
A
1.) 3 + 2 = 5
2.) √ 2 ( √ 4 ) =2 √2
3.) 3 + ( x + y )=( 3+ x ) + y
1
1
C 4.) +0=
2
2
D 5.) -5 + 5 = 0
C 6.) 0 + 58.7
3
5
D 7.) - x− = 1
5
3
For the numbers 1 to 15, write the correct symbol for each word.
Word/Phrase
Symbol
1. and
2. for all
3. the set of real numbers
4. an element of the set of integers
5. a member of the set of real numbers
6. or
7. if…then
8. for some
9. if and only if
10. a member of the set of irrational numbers
11. for every
12. an element of the set of natural numbers
13. an element of set A = { … ,−3 ,−2 ,−1 , 0 , 1 ,2 , 3 , … }
14. a simple statement
3
1
15. an element of set H = −12.356 ,− , 1 , , √ 144 , 987.5
4
2
{
n
V
{ℝ}
{∈Z}
{∈ℝ}
u
⇒
∃
⇐⇒
{∈Q′ }
∀
{∈ℕ}
X∈A
p
X∈H
}
Assignment No: 3
A. Determine which of the given statement is inductive or deductive reasoning:
1. If a quadrilateral has four sides, then a rectangle is a quadrilateral.
 DEDUCTIVE REASONING
2. I find people with glasses intellectual. Joaquin is wearing glasses. Therefore, Joaquin is
intellectual.
 DEDUCTIVE REASONING
3. My math teacher last semester is a woman. This semester, my math teacher is a woman.
Therefore, all math teachers are women.
 INDUCTIVE REASONING
4. A man inspects 12 taxis, all of which are white, and concludes that all taxis are white.
 INDUCTIVE REASONING
5. For the first 5 activities, Jayen is the first one to complete the activity. He concludes that he
will be the first one to finish in all activities.
 DEDUCTIVE REASONING
Assignment No: 4
A. For each of the following, classify each as (1) qualitative or quantitative and (2)
nominal, ordinal, interval or ratio.
1.
2.
3.
4.
5.
Data
Hand use in writing
Number of Philippine regular holidays for
each month in the year 2020
Scores of each player in a basketball
game
7-day temperatures for the month of
december
Length of time Google searches for a
random word
1
Qualitative
Quantitative
2
Nominal
Ratio
Quantitative
Interval
Quantitative
Interval
Quantitative
Ratio
6. Ending balances of savings accounts at
National Prime Bank
7. Level of happiness of regular employees
8. Basic Equipment used in broadcasting
9. Level of college student’s math anxiety
10. Natural disaster in the world
Qualitative
Nominal
Qualitative
Qualitative
Qualitative
Qualitative
Ordinal
Nominal
Ordinal
Nominal
B. For each of the following, calculate the (1) mean (2) median and (3) mode, (4) range,
(5) variance, and (6) standard deviation. Round your answers to hundredths digit.
Data
1. 7.5, 8.0, 9.5, 8.8,
7.5, 7.6, 9.1, 8.5,
8.8
2. 100, 120, 132,
122, 145, 121,
105,109, 115,
119, 114, 112,
112, 109, 104,
106
1
8.366
2
8.5
3
7.5
8.8
4
2
5
0.555
6
0.745
115.313
113
109
112
45
128.4
11.331
C. Referring to the results in the previous problems, determine if the data is symmetric
or asymmetric. Check the appropriate box.
Data
3. 7.5, 8.0, 9.5, 8.8, 7.5, 7.6, 9.1, 8.5, 8.8
4. 100, 120, 132, 122, 145, 121, 105, 109, 115,
119, 114, 112, 112, 109, 104, 106
D. For each of the following, determine the graph to use:
1. Ages of attendees of Palm Sunday celebration
 Histogram
2. Brands of sportswear
 Pie graph
Symmetric
✔
Asymmetric
✔
3. Educational attainment
 Bar graph
4. Gallons of gasoline solid
 Axes graph
5. Aptitude scores of newly-hired employees
 Bar graph
E. Consider the data: 37, 25, 30, 27, 35, 30, 32, 34, 44, 45, 24, 32, 48. Make a steam andleaf plot. Which measure of central tendency and measure of dispersion are
appropriate for the data? Explain.
4 458
3 0022457
2 457
Answer:
 MEAN
 MEDIAN
 MODE
 RANGE
Simply because stem and leaf plot is use to quickly organize a large list of data values
(ascending/descending). Mean, median, mode and range are one way process. Meaning we
can solve it by only looking at the plotted data values. It doesn't have to use another table to
solve for the mean, median, mode and range unlike variance and standard deviation.