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 solution, based on Un = 4*(n + 2) for n = 1, 2, 3, ... is 32.
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Well, well, well, aren't you a math wizard? The nth term for this sequence is 4n + 8. So, if you plug in n = 1, you get 12; n = 2, you get 16; n = 3, you get 20; n = 4, you get 24; and n = 5, you get 28. Voila!
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
8 + 4n
The nth term of the sequence is expressed by the formula 8n - 4.
n(n+1)
The nth term of the sequence -4 4 12 20 29 is 8n+12 because each time the sequence is adding 8 which is where the 8n comes from. Then you take 8 away from -4 and because a - and - equal a + the answer is 12. Which is where the 12 comes from. Hope I helped.