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Arithmetic sequence proj.
After knee surgery, your Doctor
tells you to return to your jogging
program slowly. He suggests jogging
for 12 minutes each day for the first
week. Each week thereafter, he
suggests that you increase that time
by 6 minutes per day. How many
weeks will it be before you are up to
jogging 60 minutes per day?
NEXT
Hi! I’m Henry. Can you help
me in my recovery?
NEXT
Hi guys. The doctor is here
to help Henry. But without
your help, I can’t cure him.
Can you help me?
YES NO
 I’m sad you
can’t come.
Maybe next
time you can.
Thank you .
END
Arithmetic sequence proj.
Wonderful! Thanks
for coming with me.
Are you ready to be
my Doctor
apprentice? Click
start.
START
Before we
start, we need
to check the
patient. Are
you ready?
YES
Hi Henry! I’m
Doctor’s
apprentice. Call
me doctor Mae.
I’m going to check
your condition.
Hi doctor Mae. Thank
you very much.
Is your knee injury
is still hurt? No, I think I’m okay
now.
Good. So, I think you
should return to your
jogging program slowly. I
suggests jogging for 12
minutes each day for
the first week. Each
week thereafter, I
suggests that you
increase that time by 6
minutes per day.
So how many weeks
will it be before I are
up to jogging 60
minutes per day?
There is a sequence
that can help you
to solve that. Do
you know what it
is? YES NO
Thank you Doc.
Okay then. Please
be careful to not
get hurt again.
END
Arithmetic sequence proj.
Okay then, What it
is?
ARITHMETIC
SEQUENCE
GEOMETRIC
SEQUENCE
FIBONACCI
SEQUENCE
HARMONIC
SEQUENCE
Nice! Now before we
start, I would like to
share my notes when I
was in High School
about arithmetic
Sequence
Okay
NEXT
 Please try again.
Back
If a sequence of values follows a
pattern of adding a fixed amount from
one term to the next, it is referred to
as an arithmetic sequence. The
number added to each term is constant
(always the same)
The fixed amount is called the common
difference, d,referring to the fact that
the difference between two successive
terms yields the constant value that
was added. To find the common
difference, subtract the first term
from the second term
Notice the linear nature of the scatter
plot of the terms of an arithmetic
sequence. The domain consists of the
counting numbers 1, 2, 3, 4, ... and the
range consists of the terms of the
sequence. While the x value increases
by a constant value of one, the y value
increases by a constant value of 3 (for
this graph).
Arithmetic Sequence Common Difference, d
1, 4, 7, 10, 13, 16, ... d = 3 add 3 to each term to
arrive at the next term,
or...the difference a2 -
a1 is 3.
15, 10, 5, 0, -5, -10, ... d = -5 add -5 to each term to
arrive at the next term,
or...the difference a2 -
a1 is -5.
add -1/2 to each term to
arrive at the next term,
or....the difference a2 -
a1 is -1/2.
Now that you
understand the
arithmetic sequence,
try to solve yours.
NEXT
Okay.
By Adding 6 minutes to the weekly
jogging time for each week creates
the sequence: 12, 18, 24, ...This
sequence is arithmetic.
Congratulations! You
can return to your
jogging program
slowly. Get well soon
Henry!
Thank you very
much Doc Mae.
Hi Doc Mae. Thanks for
everything. I learned a
lot. And also I’m okay
now.
Well done Henry.
Your welcome.
Please be careful.
You are a great Doctor apprentice.
Thank you very much. Bye.
END
Arithmetic sequence proj.

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Arithmetic sequence proj.

  • 2. After knee surgery, your Doctor tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. How many weeks will it be before you are up to jogging 60 minutes per day? NEXT
  • 3. Hi! I’m Henry. Can you help me in my recovery? NEXT
  • 4. Hi guys. The doctor is here to help Henry. But without your help, I can’t cure him. Can you help me? YES NO
  • 5.  I’m sad you can’t come. Maybe next time you can. Thank you . END
  • 7. Wonderful! Thanks for coming with me. Are you ready to be my Doctor apprentice? Click start. START
  • 8. Before we start, we need to check the patient. Are you ready? YES
  • 9. Hi Henry! I’m Doctor’s apprentice. Call me doctor Mae. I’m going to check your condition. Hi doctor Mae. Thank you very much.
  • 10. Is your knee injury is still hurt? No, I think I’m okay now.
  • 11. Good. So, I think you should return to your jogging program slowly. I suggests jogging for 12 minutes each day for the first week. Each week thereafter, I suggests that you increase that time by 6 minutes per day. So how many weeks will it be before I are up to jogging 60 minutes per day?
  • 12. There is a sequence that can help you to solve that. Do you know what it is? YES NO
  • 13. Thank you Doc. Okay then. Please be careful to not get hurt again. END
  • 15. Okay then, What it is? ARITHMETIC SEQUENCE GEOMETRIC SEQUENCE FIBONACCI SEQUENCE HARMONIC SEQUENCE
  • 16. Nice! Now before we start, I would like to share my notes when I was in High School about arithmetic Sequence Okay NEXT
  • 17.  Please try again. Back
  • 18. If a sequence of values follows a pattern of adding a fixed amount from one term to the next, it is referred to as an arithmetic sequence. The number added to each term is constant (always the same) The fixed amount is called the common difference, d,referring to the fact that the difference between two successive terms yields the constant value that was added. To find the common difference, subtract the first term from the second term Notice the linear nature of the scatter plot of the terms of an arithmetic sequence. The domain consists of the counting numbers 1, 2, 3, 4, ... and the range consists of the terms of the sequence. While the x value increases by a constant value of one, the y value increases by a constant value of 3 (for this graph).
  • 19. Arithmetic Sequence Common Difference, d 1, 4, 7, 10, 13, 16, ... d = 3 add 3 to each term to arrive at the next term, or...the difference a2 - a1 is 3. 15, 10, 5, 0, -5, -10, ... d = -5 add -5 to each term to arrive at the next term, or...the difference a2 - a1 is -5. add -1/2 to each term to arrive at the next term, or....the difference a2 - a1 is -1/2.
  • 20. Now that you understand the arithmetic sequence, try to solve yours. NEXT Okay.
  • 21. By Adding 6 minutes to the weekly jogging time for each week creates the sequence: 12, 18, 24, ...This sequence is arithmetic.
  • 22. Congratulations! You can return to your jogging program slowly. Get well soon Henry! Thank you very much Doc Mae.
  • 23. Hi Doc Mae. Thanks for everything. I learned a lot. And also I’m okay now. Well done Henry. Your welcome. Please be careful.
  • 24. You are a great Doctor apprentice. Thank you very much. Bye. END