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anonymous
 5 years ago
I need help with a sequence
anonymous
 5 years ago
I need help with a sequence

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.010 13 16 8 If i is multiple of 4 divide it by 2 if it is not a multiple of 4 add 3 Find the 500th term The 500th term is 8 but i need a formula to show how i worked it out

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.010,13,16,8,11,14,17,20,10,13,16,8 Then we can see that \(a_4=a_{12}=8\) and in general \(8=a_4=a_{4+8n}\) for any \(n\). Since \(500=4+8n\Leftrightarrow 496=8n\Leftrightarrow n=124 \) then \(a_{500}=8\).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.01. 8+3=11 2. 11+3=14 3. 14+3=17 4. 17+3=20 5. 20/2=10 6. 13 7. 16 8. 8 this will be repeating now the 4th element is 8 plus every 4+k8 element (k is an integer) 500=4+62*8 so it is 8

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Andras is right for the \(n\) :).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The rule is if it is a multiple of 4 divide it by 2 so 8/2 =4/2=2+3=5+3=8/2=4/2=2+3=5

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that is what keeps on happening

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0haha watchmath we both suck :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.010 13 16 8 below four will be repeating than 4 2 5 8 so we can see that every 4th element is 8. 500/4=125 this proves that it is 8

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but 500 also divides by 4 so how can u be certain that it is 8

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0every 4th element is an 8 (we can see that now) so if an element can be written as the the factor of 4 than it is 8. 1*4th element=8 2*4th =8 3*4th =8 and so on so the 125*4th element (500)=8

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok thank you very much for helping me

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I dont think there is a formula here, you have to use your brain

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Are you sure because my dad says there is a formula but will not tell me

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the formula us that if the number can be written as 4k (k is an integer) than it is 8, I dont see what your dad wants.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok thanks i will go now and prove my dad wrong

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Good luck for that! :)

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Well you can make a formula \(a_1=10,a_2=13,a_3=16\) \(a_{4n}=8\) for all \(n\) \(a_{4n+1}=4\) for \(n\geq 1\) \(a_{4n+2}=2\) for \(n\geq 1\) \(a_{4n+3}=5\) for \(n\geq 1\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can you make the formula for me pretty please

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0I wrote the formula above! You need to free your mind! the formula doesn't always means that you have to write it as a single expression. The description above is count as formula too.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok i need to tell you something i am an 11 year old child in harrow that goes to Glebe Primary School my teacher gave me a sequnce and i had to find out the 500th term usin a simple formula do u think i can understand wat u just wrote

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0at 11 you learn about sequences?? tell your teacher to relax a bit :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i have to find a formula to be in this level six study group at school

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, you must be smart since your teacher has a high hope for your and give you this problem. The formula that I gave above basically says that to find the nth terms of the sequence (were \(n\geq 4\) )) we do the following: When n/4 has no remainder, then the nth term is 8 when n/4 has 1 as the remainder, then the nth term is 4 when n/4 has 2 as the remainder, then the nth term is 2 when n/4 has 3 as the remainder, then then nth term is 5 For example what is the 6666th term? Lets divide 6666/4. We have 1666 with remainder 2. So the 6666th term is 2.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ooooooooooooo i get it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so 500/4 is 125 with no remainder so it is 8

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank u very much u are the best u should get a job as a teacher

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wat do u mean by remainder 6666/4=1666.5 so how is it 2

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0\(6666=4\cdot 1666 + 2\) So the remainder is 2. You need to divide by hand to get the remainder.

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0By hand means not using calculator. No body teach to divide by "hand" anymore? :D

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how does 6666= 4.1666+2=

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i hav no idea where u get the remainder 2 from

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Do you know how to divide just using paper and pencil?

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, try to divide 6666 by 4 using paper and pencil.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ooooooo i see it now thank u very much u are the best
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