4. HI GUYS!
CAN I BE ONE OF
YOUR FRIEND ?
WHUTT
T?
If I answer your
question
correctly, I will…..!
HM!OK!
But….t!
Ahhhhhhh!
What about geometric
sequence?
Hmmm. It’s
okay!
ArithmetIc
sequence is a
good one
too.
What?
SURE! But you
must answer our
question correctly.
DEAL ?
5. By the way hi-way, if you encounter this kind of
situation.. don’t worry because we will teach you how
to do it.
You encountered a situation which talks about the Arithmetic and
Geometric Sequence. Let’s proceed;
Arithmetic Sequence is a
sequence of numbers such that the difference between the
consecutive term is constant.
For instance, the sequence 5, 7, 9, 11, 13, 15 … is an arithmetic
progression with common difference of 2.
Formula:
Given this formula, I’ll give you some
examples:
OK, I’ll listen and
understand it properly.
6. Here are some examples in Arithmetic
Sequence
Using the formula : = – d ,
The sequence starts at 6 ( ) and then adds 3(d)
to each preceding number.
To find the term (n) in the sequence apply
the formula: = + (n – 1) d
= 6 + (15-1) 3
= 6 + (14) 3
= 6 + 42
= 48
Ahhh. ok
I got
this!
Ok!
7. And now, let’s proceed to the
Other sequence which is the…
“GEOMETRIC SEQUENCE”
Do you know what is Geometric Sequence?
It is a sequence of numbers where each term after the first is
found by multiplying the previous one by a fixed, non-zero number
called the common ratio. For example, the sequence 2, 6, 18, 54,
... is a geometric progression with common ratio 3.
How do you find the common ratio of a geometric sequence?
To find the common ratio, divide the second term by the first term. Notice
the non-linear nature of the scatter plot of the terms of a geometric
sequence The domain consists of the counting numbers 1, 2, 3,4,
... and the range consists of the terms of the sequence.
I THINK YOU GUYS ARE READY TO ANSWER THE ACTIVITIES
8. ACTIVITY CARD
ACTIVITY # 1 WHO AM I?
ANSWER THE FOLLOWING USING THE GEOMETRIC SEQUENCE
1.) 2.) 3.)
What is the 3rd What is the 6th The first term of
term of the geometric term of the geometric geometric sequence is 5
sequence 7,21,_ 189? sequence? and the last term is 960.
ANSWER: ________ ? ANSWER: ________ ? Find the common ratio of the
sequence? ANSWER: ____ ?
4.) 5.)
What is the 5th term of What is the 2nd term
sequenced? of the sequenced?
ANSWER: ______ ? ANSWER: ______ ?
9. ACTIVITY # 2
HOW MUCH ARE U ?
ANSWER THE FOLLOWING USING ARITHMETIC SEQUENCE
1.)The first term of the arithmetic 2.) The first term of an arithmetic sequence 3.) An arithmetic sequence has
sequence is equal to 6 and the is equal to 200 and the common difference a common difference of 10
common difference is equal to 3. is equal to -10. Find the value of the and it’s first term is
Find a formula for the term term. equal to 12.Find it’s 15th
and value of the term. term.
4.) Given the term which is 3, 5.) Given 3 as the 1st term, 12 as the 2nd term,
term which is 12. Find then 21 as the 3rd term, 30 as the 4th term.
term. Find the 5th term.
10. DID YOU KNOW ALREADY HOW TO FIND THE MISSING
TERMS?
I think so? If you are not ready yet ,
we will answer MORE….!
ACTIVITY # 3 Watch out!
Find the term for each
items below using the Arithmetic Sequence.
1.) 4,7,10,13,16, __ ?
2.) 3,5,__,9,11 ?
3.) 6,18,30,42,54,66,78,__ ?
4.) 6,12,18,24,32,36,42,48,__,60 ?
5.) 3,4,5,__,7,8,9,10,11 ?
I THINK SO
ahmm ???
Look!
YEAH, I see it!
11. We will answer MORE…!and MORE..!
ACTIVITY # 4
CATCH ME IF U CAN….!
ANSWER THE FOLLOWING USING THE GEOMETRIC SEQUENCE
1.)
2.)
What is the 4th
term of the
geometric sequence?
18,108,648,__?WAIT..!
ANSWER:
What is the 4th
term of
the geometric
sequence.. 2, 20, 200,
2000,____,200,000.?
Ahhhhhh???
ANSWER:
12. 3.)
4.)
5.)
What is the 8th
term of the given
sequence
3,,6,12,24,48,96,192,__,768.
????
ANSWER:
What is the next term of
the geometric
sequence 6, 18, 54,
162..?WHAT?
ANSWER:
Ttttrrrrrr.!!!
Find the sum of the
geometric sequence
where the first term is
2 and the last term is
162?
ANSWER:
If this will happen to
me, I’ll quit swimming.
Hehehe!
13. ACTIVITY # 5
CORRECT ME, IF IM
WRONG!
DETERMINE IF THE FOLLOWING GEOMETRIC SEQUENCE IS CORRECT
OR NOT.BY WRITING CORRECT IF IT HAS NO ERROR AND INCORRECT IF
THE SEQUENCE IS WRONG AND PUT THE CORRECT ANSWER.
1.) 8, 16, 32, 64, 128
2.) -3, 9, 27
3.) 14, 64, 384, 2304
4.) 6, 12, 24, 48, 96, 148, 396
5.) 7, 14, 28, 42
6.) 3, 9, 27, 51
7.) 10, 20, 30, 40, 50, 60, 70, 80, 90
8.) 14, 42, 126, 378
No, I will
answer it.
ME!
I’ll answer it.
me!
Dahhhh!
Shut up you
guys! I’ll answer
this.
15. ENRICHMENT CARD
Solve and choose the letter of the correct answer given the
ARITHMETIC and GEOMETRIC Sequence below.
1.) What is the 8th term 4.) Find the 18th term
of the sequence of the sequence
1, 4, 7, 10, …? 1,4,7,10,…?
a. 20 b. 21 c. 22 d. 23 a.65 b.69 c.62 d. 75
2.) What is the 10th term 5.)Find the 13th term
of the sequence of the sequence 3,
3,12,21,…? 5,7,9,11,…?
a. 80 b. 81 c. 82 d. 84 a. 27 b. 47 c. 57 d. 67
3.) Find the 3rd term 6.) Find the sum of
of the sequence geometric sequence
5,12,…? where the first term is
a. 20 b. 19 c. 18 d. 17 2 and the last term is 162?
A. 200 b. 250 c. 243 d. 253
16. ANSWER CARD
ACTIVITY # 1 ACTIVITY # 3 ACTIVITY # 5 ASSESSMENT
1.)63 ration is 3 1.) 19 1.)CORRECT 1.) 30,75
2.)243 ratio is -3 2.) 7 2.)CORRECT 2.) 7,35
3.) 2 3.) 90 3.)CORRECT 3.) 14,17.5
4.) -512 ratio is -4 4.) 54 4.)CORRECT 4.) 24,36
5.) 78 ratio is 6 5.) 6 5.)CORRECT 5.) 18,45
ACTIVTY # 2 ACTIVITY # 4 6.)CORRECT 6.) 30,50
1.)153 1.) 3,888 ratio is 6 7.)CORRECT 7.) 10,14
2.)10 2.) 20,000 ratio is 10 8.)CORRECT 8.) 18,24
3.)152 3. ) 384 ratio is 2 9.) 18,28
4.)21 4.) 486 ratio is 3 10.)13,27
5.)39 5.) 243
ENRICHMENT
1.C 2. D 3. B 4. C 5. A 6. C
HOORAYY!
IM DONE! HAY..AT
LAST!
18. MEMBERS:
BAYHON , REINA
IGOT ,SHAINA MAE
ELARCOSA, KENT MARK
ELMIDO,QUEZIA
MARIQUIT,CRISKEN
ABALOS, KATHLEEN
MONTECLAR,ADRINNIE
CADAVEZ,JUAQKHEIN
MATA,JADE
IGOT,KEN RAYMOUND
PINO,AUBLEY
MENDEZ,MICHELLE ANN
HEY GUYS!
HERE ARE
THE
MEMBERS
FROM THE
GROUP 4&5.
