anonymous
  • anonymous
How to Work out the nth term in the sequences below? http://s1274.beta.photobucket.com/user/hmp311/media/7778AD32-3261-48EB-BA9D-119F07AA70C8-1004-00000419CAFB720A_zpsaf8eeb58.jpg.html?sort=3&o=0 Note: I keep asking this and I get a formula: nth term = dn + (a - d)
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
@lgbasallote @nincompoop
anonymous
  • anonymous
Please help:(
lgbasallote
  • lgbasallote
what exactly are you asking?

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lgbasallote
  • lgbasallote
sequence of what?
anonymous
  • anonymous
I dont undersyand how to create a formula.
anonymous
  • anonymous
The worksheet is at the link above.
lgbasallote
  • lgbasallote
i see many sequences
anonymous
  • anonymous
It says you have to work out the terms asked for, create a formula.
anonymous
  • anonymous
Actually,all of them. I uave to turn this in today.
lgbasallote
  • lgbasallote
well...the formula for arithmetic sequence is what you say \[\huge a_n = a_1 + (n-1)d\] where: an is the last term a1 is the first term n is the number of terms d is the common difference
anonymous
  • anonymous
Please know I am in eight grade.
lgbasallote
  • lgbasallote
for example 1, 9, 17, 25, 33,... find the 50th term an would be a50 because a50 is the last term a1 will be 1 because it's the first term n would be 50 because you're looking for the 50th term so you have 50 terms d would be 8 because it adds 8 each number (1 + 8 = 9; 9 + 8 = 17; etc) so if you substitute.. \[\huge a_{50} = 1 + (50 - 1)8\] \[\huge a_{50} = 1 + 49 (8)\] \[\huge a_{50 } = 1 + 392\] \[\huge a_{50} = 393\] so the 50th term is 393 in my example
lgbasallote
  • lgbasallote
if you're old enough to learn sequences then you're old enough to learn this
anonymous
  • anonymous
Ok..'reading'
anonymous
  • anonymous
may i try o e?
lgbasallote
  • lgbasallote
sure
anonymous
  • anonymous
From my homework.
anonymous
  • anonymous
ill write in othere first amd then type it on here.
lgbasallote
  • lgbasallote
sure
anonymous
  • anonymous
a44=8+(5-1)9
anonymous
  • anonymous
number 7
anonymous
  • anonymous
is that correct?
lgbasallote
  • lgbasallote
let me check...
anonymous
  • anonymous
ok
lgbasallote
  • lgbasallote
number 7 is looking for the 50th term not the 44th
anonymous
  • anonymous
You said a1 was the last term,which in this case is 44
lgbasallote
  • lgbasallote
i think you're confused... 8, 17, 26, 35, 44, .... this doesn't mean 44 is the last term "..." means the sequence continues 8, 17, 26, 35, 44, 53, 62, 71 and so on
lgbasallote
  • lgbasallote
that means the last term is the 50th term because that's what you're looking for make sense?
anonymous
  • anonymous
ohhhh
anonymous
  • anonymous
well, if we erased the 44, would it be correct?
lgbasallote
  • lgbasallote
nope. you used 5 as your n
anonymous
  • anonymous
im sorry.
lgbasallote
  • lgbasallote
like i said, the sequence doesn't stop at 44 so there are more than 5 terms
lgbasallote
  • lgbasallote
since you're looking for the 50th term, there would be 50 terms make sense?
anonymous
  • anonymous
yes
lgbasallote
  • lgbasallote
good. so rewrite your solution
anonymous
  • anonymous
wait it shouldve been 50 right
anonymous
  • anonymous
a50=8+(50-1)9
lgbasallote
  • lgbasallote
right. now solve it
anonymous
  • anonymous
thatll give me the 50th term?
anonymous
  • anonymous
do you solve for a in the a50?
lgbasallote
  • lgbasallote
no... a50 means \(a _{50}\) that means 50th term
lgbasallote
  • lgbasallote
just solve the right side
anonymous
  • anonymous
-2?
anonymous
  • anonymous
n
anonymous
  • anonymous
no
lgbasallote
  • lgbasallote
how'd you get -2?
anonymous
  • anonymous
umm,let me tru again
anonymous
  • anonymous
web2.0calc
anonymous
  • anonymous
ooo the a50 doesnt matter when solving
lgbasallote
  • lgbasallote
yes
anonymous
  • anonymous
513?
anonymous
  • anonymous
i lost connection
anonymous
  • anonymous
back,
anonymous
  • anonymous
was i right?
lgbasallote
  • lgbasallote
you solved 8 + (50-1)9 right?
anonymous
  • anonymous
yes
lgbasallote
  • lgbasallote
did you use a calculator?
anonymous
  • anonymous
yes i was supposed to use order of operations?
lgbasallote
  • lgbasallote
i see what you did (8 + 50 - 1)* 9
lgbasallote
  • lgbasallote
that is wrong
anonymous
  • anonymous
*sigh* ok
lgbasallote
  • lgbasallote
you have to do (50 -1) then multiply it to 9 then add 8
anonymous
  • anonymous
order of ops.
lgbasallote
  • lgbasallote
PEMDAS PARENTHESIS expoent MULTIPLICATION division ADDITION subtraction did you forget this?
anonymous
  • anonymous
no, thats what order of operations is
lgbasallote
  • lgbasallote
parenthesis is (50 - 1) multiplication is (50-1)*9 addition is 8 + (50-1)*9
lgbasallote
  • lgbasallote
that means you do 50 - 1 first
anonymous
  • anonymous
o. so, i use that formula, substitute,and solve right side?
lgbasallote
  • lgbasallote
yes
anonymous
  • anonymous
THANK YOU
lgbasallote
  • lgbasallote
welcome
anonymous
  • anonymous
hi amistre
lgbasallote
  • lgbasallote
i hope im not in trouble @amistre64
amistre64
  • amistre64
finally got to the end of it :) howdy!
anonymous
  • anonymous
howdy,sir
anonymous
  • anonymous
you mean the end of my endless question?
amistre64
  • amistre64
i havent seen the links yet, but lgbas stuff looks good so far yeah, these things can get rather lengthy, but thats the way we like to see them. lots of interaction and studying instead of rote answers
anonymous
  • anonymous
am i in trouble
amistre64
  • amistre64
lol, not that i can see :) as long as your trying to learn that material you are fine
anonymous
  • anonymous
yes imam.
amistre64
  • amistre64
they all look to be arithmetic progressions, so you can apply the same techniques to all of them
lgbasallote
  • lgbasallote
i'd like to know though @amistre64 do you know what dn + (a-d) means?
lgbasallote
  • lgbasallote
it looks like the formula for arithmetic progression....but it looks weird
amistre64
  • amistre64
its another way to express the sequence but for n starting at 0 i believe
anonymous
  • anonymous
amistre can i fan u
lgbasallote
  • lgbasallote
dn looks really weird
amistre64
  • amistre64
dn + (a-d) dn - d + a d(n-1) + a
amistre64
  • amistre64
you can fan whomever you wish
lgbasallote
  • lgbasallote
...clever
amistre64
  • amistre64
i think if i get anymore fans the site will collapse into an infinitly large black hole tho so be careful if you do :)
amistre64
  • amistre64
have you gone over how to find the terms used: a, d, n ?
anonymous
  • anonymous
yes
amistre64
  • amistre64
good, cause one you know how to get those, the rest is just simple arithmetic
amistre64
  • amistre64
*cause once you know
anonymous
  • anonymous
d common difference
amistre64
  • amistre64
how do you find the common difference of the sequence?
anonymous
  • anonymous
subtract.
amistre64
  • amistre64
right, subtract the first term from the second term problem 10: 7 ,13, 19, ... d = 13-7 = 6 right?
anonymous
  • anonymous
yes sirr
amistre64
  • amistre64
and what does the "a" in the formula refer to?
anonymous
  • anonymous
a refers to a term
amistre64
  • amistre64
yes, but there is "a" special a that we need to use in the formula itself. the FIRST term. In the problem im working thru, that would be: 7 d=6, a=7 and what does "n" mean?
amistre64
  • amistre64
im going to use a different but equal notation for the formula: \[f(n)=a+d(n-1)\] \[f(n)=7+6(n-1)\]
amistre64
  • amistre64
you can replace \(f(n)\) with \(a_n\) if you want, its just a placeholder
amistre64
  • amistre64
the "n" is reserved for the position of the term we want to find. in this case, the 90th term \[f(n)=7+6(n-1)\] \[f(90)=7+6(90-1)\] \[f(90)=7+6(89)\] \[f(90)=7+534\] \[f(90)=541\]

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