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OpenStudy (amistre64):

What is the closed form equation that will generate the sequence: {3,6,11,18,27,38,51,66,...} An = ?

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OpenStudy (amistre64):

so far so good

OpenStudy (amistre64):

yes, its adding 2n+1 to the previous terms

OpenStudy (anonymous):

if you start with 1 you just get n^2

OpenStudy (anonymous):

so somehow we have to adjust

OpenStudy (amistre64):

teacher couldnt figure it out, so i got extra credit for it when i schooled her ;) lol

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OpenStudy (anonymous):

so is it just n^2 + 2?

OpenStudy (amistre64):

thats it

OpenStudy (anonymous):

oh that wasn't so bad...

OpenStudy (amistre64):

\begin{array}c \\ 3&=3+0\\ 6&=3+3\\ 11&=3+8\\ 18&=3+15\\ 27&=3+24\\ 38&=3+35\\ etc...&...\\ \end{array} if we can add 1 to the right we got the perfect squares; so i borrowed one from the left to get: 2 + n^2

OpenStudy (amistre64):

after getting a 91 on the proofs exam, i decided to jump on the extra credit ;)

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