answersLogoWhite

0

There are infinitely many sequences that start with those 6 values.

However, if you look at the differences between each term and the next you will find:

768 - 21 = 747 + 38 = 785

785 - 24 = 761 + 41 = 802

802 - 27 = 775

So it looks like a sequence of alternately subtracting and adding something, the value of which increases by 3 each time: -21, +38, -24, +41, -27, ...

Alternatively it can be seen as two sequences interlaced, one term from each in sequence:

768, 785, 802, ... where each term is 17 more than the last: U{n} = 751 + 17n for n = 1, 2, 3, ...

747, 761, 775, ... where each term is 14 more than the last: U{n} = 733 + 14n for n = 1, 2, 3, ...

Combining the two gives:

U{n} = 751 + 17(n+1)/2 for n = odd (1, 3, 5, ...)

U{n} = 733 + 7n for n = even (2, 4, 6, ...)

User Avatar

Wiki User

7y ago

Still curious? Ask our experts.

Chat with our AI personalities

ReneRene
Change my mind. I dare you.
Chat with Rene
EzraEzra
Faith is not about having all the answers, but learning to ask the right questions.
Chat with Ezra
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
More answers

According to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways and so can be continued any of these ways - some simple, some complicated but all equally valid.

The simplest polynomial solution is:

Un = (-127*n5 + 2215*n4 - 14500*n3 + 43940*n2 - 60238*n + 51750)/30, for n = 1, 2, 3, ...


User Avatar

Wiki User

7y ago
User Avatar

Add your answer:

Earn +20 pts
Q: What is the sequence 768 747 785 761 802 775?
Write your answer...
Submit
Still have questions?
magnify glass
imp