3. Identify a sequence
as arithmetic or
geometric;
01
Demonstrate appreciation of recognizing patterns of
differentiating geometric from arithmetic sequence.
03
Differentiate a
geometric sequence
from arithmetic
sequence; and
02
Learning objectives :
18. CREDITS: This presentation template was created by
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infographics & images by Freepik
By
PAIR!
19. compare and contrast arithmetic and geometric sequences using a two-column chart.
arithmetic geometric
With common difference With common ratio
Adding a constant called common
difference
Multiplying a constant called common
ratio
to get the common difference, subtract
the last term to the precede term
to get the common ratio, divide the
last term to the precede term
+ - x ÷
20. Seating around tables.
Think about a
restaurant. A square
table fits 4 people.
When two square
tables are put together,
now 6 people are
seated. Put 3 square
tables together and
now 8 people are
seated.
Arithmetic sequence in real life
21. Pyramid-like patterns,
where objects are
increasing or
decreasing in a
constant manner.
Ideas for this are seats
in a stadium or an
auditorium.
Arithmetic sequence in real life
22. A ball bouncing is
an example of
finite geometric
sequence.
Geometric sequence in real life
24. “On summer vacation, the packing Department of Patatas
Company of Tingub Mandaue City is in need of part-timers
.Since its vacation, you decided to apply for a job. You are
given two options for your salary.
Option A, Php 50 1st day, Php 52 for 2nd day, Php54 for 3rd day
and so on.
Option B, Php 10 the first day, Php20 the second day ,Php40
the third day and so on.
How much is your salary after 10 working days if you choose
option A? Option B?
Which is a better option?
Quiz: solve the problem
25. 10, 20, 40, 80, 60, 120, 240, 480, 960, 1920
Arithmetic sequence
50, 52, 54, 56, 58, 60, 62, 64, 66, 68
Geometric sequence
About the data i’ve found
Option a
Option B in better than Option A.
Option b
26. Linear interpolation solution steps
Step #01
Arrange the no. in
ascending order.
Step #02
Locate the position
of the score in the
distribution.
Step #03
Find the difference
between the 2 values
wherein
𝑄𝑘 𝑜𝑟 𝐷𝑘 𝑜𝑟 𝑃𝑘 is
situated.
Step #04
Get the decimal part result
in step 2 and multiply it
with the result in step 3
Step #05
Add the result in step 4 to the smallest no. in step 3 to get the
value of 𝑄𝑘 𝑜𝑟 𝐷𝑘 𝑜𝑟 𝑃𝑘.
27. These are the scores of 13 students in grade 10 dura in a 20 item test. Find 𝑸𝟏
3
,
7
,
9
,
11
,
15
,
18
,
19
,
15
,
14
,
14
,
17
,
20
,
20
Step #01
Arrange the no. in
ascending order.
Step #02 Locate the position of the
score in the distribution.
𝑸𝒌 =
𝒌 ( 𝒏 + 𝟏 )
𝟒
𝑸𝟏 =
𝟏 ( 𝟏𝟑 + 𝟏 )
𝟒
𝑸𝟏 =
𝟏 ( 𝟏𝟒)
𝟒
𝑸𝟏 =
𝟏𝟒
𝟒
𝑸𝟏 = 𝟑. 𝟓𝒕𝒉
Step #03
Find the difference
between the 2 values
wherein 𝑄1 is
situated.
𝟏𝟏 − 𝟗 = 𝟐
Step #04
Get the decimal part result
in step 2 and multiply it
with the result in step 3
𝟎. 𝟓 𝟐 = 𝟏
Step #05
Add the result in step 4 to
the smallest no. in step 3 to
get the value of 𝑄1.
𝟏 + 𝟗 = 𝟏𝟎
𝒕𝒉𝒆𝒓𝒆𝒇𝒐𝒓𝒆 𝑄1 = 𝟏𝟎
28. – is a sequence where
each term is found by
multiplying or dividing the
same value from one term
to the next. We call this
value “common ratio”.
Progress:
Denoted
as (r)
r = any term
precedes
29. Tip: The initial letter of their name is also the initial
letter of the country they come from
Progress:
Term:
Geometric Sequence:
Common ration:
1
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31. We don’t know where he is from
Progress:
This is finnick!
He is 15 years old
Finnick loves chess and parkour
He does not have lots of friends: only 1
He has a tortoise called Edison
He hates math but is good at them
Finnick has always a smile on his face
32. This is robin
Progress:
Special traits
Tall, no freckles, smiley and fun
nationality
Unknown
hobbies
Soccer, rugby and football
33. gathering the data
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80
60
40
20
0
Ana Robin Finnick
To modify this graph, click on it, follow the link, change the data with your own and replace the graph in this slide
Her strong: be punctual
Ana “O’clock” is an excellent organizer
Books and knowledge
Robin loves to read, almost as much as Ana
Math
Finnick hates math although he is good at it
34. We must understand HIS origin
Progress:
Is HE american?
The problem asked
about Finnick, not Ana...
Or argentinian?
On second thought,
Argentina is discarded
no, IS HE finnish?
Yes, definitely Finnish:
it matches the first
letter!
Or maybe turkish!
This is tricky because it
is in between!
38. REFERENCE
Ceres is located in
the asteroid belt
Evidence found
ANCIENT NOTES
Pluto is considered a
dwarf planet
EVIDENCE
Earth is the planet
where we live on
MODERN NOTES
Saturn is a gas giant
and has rings
Progress:
39. Is it female...
Despite being red,
Mars is a cold place
Or male?
This is the planet
where we all live on
magnetism
It was named after
the Roman god
School potion
Jupiter is a gas giant
and the biggest
School clock
Venus is the second
planet from the Sun
School bell
Pluto is considered a
dwarf planet
Gathering evidence
Progress:
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I have not! However, you can
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Progress:
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Nope, it’s on my phone! Let’s see what it is!
Progress:
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Pana Amico Bro Rafiki Cuate
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56. JANUARY FEBRUARY MARCH APRIL MAY JUNE
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JANUARY FEBRUARY MARCH APRIL
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