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If you layout the sequence...

3, 8, 15, 24, 35... ok so you find the difference between these

3 to 8= +5 8 to 15= +7 15 yo 24= +9 24 to 35= +11

so now you find something called the second difference

which is +2 +2 +2 +2 +2. Then you need to divide the second difference by 2 which is just n^2 as it is a quadratic sequence you are finding.

now you do the nth term which is just 1 2 3 4 5 etc.

and you do your n squared sequence which is 1 4 9 16 25 etc.

and you do your sequence 3 8 15 24 35

you find out that you need from the n squared sequence and your regular sequence which is +2 +4 +6 +8 +10 this is your 2n

add 2n to the divided term n squared and you have your answer,

Answer= n squared +2n ------> (n^2)+2n

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Kayleighx

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โˆ™ 2020-12-23 16:10:11
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Kayleighx

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โˆ™ 2020-12-23 16:10:43
Hope this helps everyone
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โˆ™ 2017-05-08 14:45:40

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.
Based on the simplest polynomial, the answer is T(n) = n^2 + 2n.

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โˆ™ 2017-05-13 21:34:07

(n + 1)^2 - 1

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Kayleighx

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โˆ™ 2020-12-23 15:57:32
this is wrong. It is n^2+2n

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Q: What is the nth term of 3 8 15 24 and 35?
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