What is the next number in the pattern?
80, 74, 63, 53....
well, one choice is 62, if the nth term is
1/2 (2n^3 - 15n^2 + 19n + 154)
If you're looking for something simpler, I suspect a typo.
Using the given values, and assuming we can represent it as a cubic, I got
term(n) = (2n^3 - 17n^2 + 25n + 150)/2
and term(5) = 50
Using obblecks expression I get
term(3) = 65 , not 63
term(4) = 59 , not 53
I suspect a transcribe error.
To find the next number in this pattern, we need to look for a consistent rule or pattern. Let's examine the differences between consecutive terms:
80 - 74 = 6
74 - 63 = 11
63 - 53 = 10
From this analysis, we can see that the differences between consecutive terms are not consistent. Therefore, it is unlikely that the pattern involves simple arithmetic operations.
Let's try examining the differences between the differences:
11 - 6 = 5
10 - 11 = -1
The differences between the differences are also not consistent. This means that neither arithmetic nor second-order differences explain the pattern.
Given this information, it's possible that the pattern may involve a more complex mathematical relationship, or it might be a non-mathematical pattern.
Without further information or additional terms in the sequence, it is difficult to determine the exact pattern and identify the next number. The pattern may require context or specific knowledge.