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The nature of mathematics

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Chapter Assessment
I.
1. What is the 8
th
term of the Fibonacci Sequence?
- 21 is the 8
th
term of the Fibonacci Sequence.
2. What is the 16
th
term of the Fibonacci Sequence?
- 987 is the 16
th
term of the Fibonacci Sequence.
3. What is the 50
th
term of the Fibonacci Sequence?
- The 50
th
term of the Fibonacci Sequence is 12,586,269,025.
4. What is the next term of the sequence 1, 4, 9, 16, 25, 36, 49, …?
- 1, 4, 9, 16, 25, 36, 49, 64.
5. What is the missing number in the sequence 3, 5, 9, ___, 15, 23, 33?
- There’s no missing number in the sequence above.
6. What is the next three terms of the sequence 10, 9, 7, 4, 0, …?
- The next three terms are, -5, -11, -18.
7. What is the missing number in the sequence -10, -6, -2, ___, 6, 10?
- 2 is the missing number in the sequence.
8. What is the missing number in the sequence 21, ___, 18, 15, 12, 9?
- There’s no missing number in the sequence above.
9. Describe the nature of the number pattern 88, 77, 55 22, …
- The given number sequence is a quadratic sequence since it
has a second common difference. The difference between 88
and 77 is 11, 77 and 55 is 22, and 55 and 22 is 33. 11, 22, and
33 has a difference of 11. Therefore, the second common
difference is 11.
10. How are each term related to one another in the sequence 2, 90, 4, 87, 6, 12,
8, 51, 10?
- For every other number from the first, 3rd, 5th, etc. it adds 2
for the next number. If so, it started with -12 then -13 then -14
then to find the next term, all you need to do is to -15 to the
current number, which is 51.

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II. Short essay
Why Mathematics is Indispensable
Mathematics is a universal language that cuts across cultures and serves as a
means of expressing thoughts in neat and precise form. It is a language used in
games, in market, in establishments and all places where there are interactions
between people. Mathematics is a means of shaping and sharpening man’s thinking
and as a discipline worthy of studying for its own sake, capable of giving pleasure
and satisfaction to those who are able to study it. Mathematics is needed for the
proper understanding, quantification and record keeping of our daily activities.
Mathematics is indispensable because it makes our lives orderly and prevents
chaos and other unnecessary arguments. Certain qualities that are nurtured by
mathematics are power of reasoning, creativity, abstract or spatial thinking, critical
thinking, problem-solving ability and even effective communication skills. All
these qualities can make us successful in our lives, it can help us solve and come up
with good decision making in our everyday problems, that is why we shouldn't
neglect the offers about mathematics education being given to us by our teachers,
the government and being worked hard every day by our parents, for us to have
successful lives in the future.
Therefore, to develop a society of men and women who are knowledgeable, able
to approach the affairs of daily life with sense of objectively and reason about them
correctly, great emphasis must be placed on the teaching and learning of
mathematics from the primary school level of the nation’s educational system. It is
only then can we have a society of disciplined appraisal of themselves in relation to
living in the society.
There is no doubt at tall that all other disciplines are serviced and sometimes
controlled by mathematics. The importance of mathematics cannot be more realized
than when in Nigeria, Modern Mathematics was introduced in the Schools. The
change in mathematical language and symbolism and its presentation as a natural
body of knowledge became serious barriers to the teaching of the sciences. There
were difficulties and the confusion that ensured probably led to the tagging of
modern mathematics as “modern mess” because it was found net relevant to the
needs and aspiration of the learners and the society at large.
Developments in most other subjects are explainable in the language of
mathematics without which no reasonable communication can be made. It is
therefore not only necessary but imperative that the present generation of school
children should have good knowledge of mathematics at least to that level of
competence which will make them cope comfortable with the mathematical
requirements of other disciplines.

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Chapter Assessment I. 1. What is the 8th term of the Fibonacci Sequence? - 21 is the 8th term of the Fibonacci Sequence. 2. What is the 16th term of the Fibonacci Sequence? - 987 is the 16th term of the Fibonacci Sequence. 3. What is the 50th term of the Fibonacci Sequence? - The 50th term of the Fibonacci Sequence is 12,586,269,025. 4. What is the next term of the sequence 1, 4, 9, 16, 25, 36, 49, …? - 1, 4, 9, 16, 25, 36, 49, 64. 5. What is the missing number in the sequence 3, 5, 9, ___, 15, 23, 33? - There’s no missing number in the sequence above. 6. What is the next three terms of the sequence 10, 9, 7, 4, 0, …? - The next three terms are, -5, -11, -18. 7. What is the missing number in the sequence -10, -6, -2, ___, 6, 10? - 2 is the missing number in the sequence. 8. What is the missing number in the sequence 21, ___, 18, 15, 12, 9? - There’s no missing number in the sequence above. 9. Describe the nature of the number pattern 88, 77, 55 22, … The given number sequence is a quadratic sequence since it has a second common difference. The difference between 88 and 77 is 11, 77 and 55 is 22, and 55 and 22 is 33. 11, 22, and 33 has a difference of 11. Therefore, the second common difference is 11. 10. How are each term related to one another in the sequence 2, 90, 4, 87, 6, 12, 8, 51, 10? - For every other number from the first, 3rd, 5th, etc. it adds 2 for the next number. If so, it started with -12 then -13 then -14 then to find the next term, all you need to d ...
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