Asked by Sandy
State the rule for this pattern:
1,5,11,19
What about: subtract the last number and add 2 to the next term
1,5,11,19
What about: subtract the last number and add 2 to the next term
Answers
Answered by
Steve
using your rule, do you get the given sequence?
Here's a method of attack:
You know that 1+3+5+...+n = n^2
adding up the 1st n odd numbers gives you n^2.
In your sequence, you have
1 1+4 1+4+6 1+4+6+8
which looks very similar. So, expect something with n^2 in it.
1 = 2^2-3
5 = 3^2-4
11 = 4^2-5
19 = 5^2-6
So, it looks to me like
Tn = (n+1)^2 - (n+2) = n^2+n-1
Here's a method of attack:
You know that 1+3+5+...+n = n^2
adding up the 1st n odd numbers gives you n^2.
In your sequence, you have
1 1+4 1+4+6 1+4+6+8
which looks very similar. So, expect something with n^2 in it.
1 = 2^2-3
5 = 3^2-4
11 = 4^2-5
19 = 5^2-6
So, it looks to me like
Tn = (n+1)^2 - (n+2) = n^2+n-1
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.