2. Derpina consulted her
teacher about her daily
review schedule due to her
time management problem .
Her teacher suggested that
she must start with a 30
minute review in the first day
and add 5 minutes for the
proceeding days. How many
minutes will Derpina consume
in total for the first week?
9. Mae’s Dilemma
Well the easiest way for you
to overcome your problem
is by having a review
schedule. Well i would like
to recommend you some
schedule but you’re going
to need some math to get it
. Are you ready for it?
Yes
No
10. Mae’s Dilemma
How about if you start with a 30
minute review in the first day and add
5 minutes for the proceeding days?
Wouldn’t that be easier?
Yes No
16. Mae’s Dilemma
Correct! Now before we
start off I would like to
discuss some things about
arithmetic Sequence
Okay let’s proceed then
17. Can be Written in the form of “a₁ , a₁+d
,a₁+2d…..
Arithmetic Sequence can be obtained by
adding a constant called Common Difference.
a₁ is the first term of an Arithmetic sequence
d is the common difference
an is the unknown term
In order to find a unknown term we could use
this formula an = a₁+(n-1)d
18. There’s a formula for that.
The formula is Sn=n/2(a₁+an)
Sn is the sum of terms
N is the nth term
a₁ is the first term
an is the last term
19. Do you think you can solve our
problem now?
Yes No
20. Mae’s Dilemma
So now in order for us to
have a clearer
understanding let’s make
an example of solving a
undefined term in a
Arithmetic Sequence
21. 3,4,5,6,7, _
Now let’s use the formula given awhile back.
an = a₁ +(n-1)d
a₁ = 3
d=1
n=6
a6= 3+(6-1)1
a6=8
22. Mae’s Dilemma
Now with the enough
information we have we may
now start solving the
problem