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Mathematics 10 Online
OpenStudy (lovelyharmonics):

@jdoe0001

OpenStudy (lovelyharmonics):

Find the first six terms of the sequence. a1 = -6, an = 4 • an-1

OpenStudy (jdoe0001):

well... seems you're given everything pretty much \(\bf a_{\color{red}{ n}}=a_1+({\color{red}{ n}}-1)d \qquad a_1=-6\qquad a_{\color{red}{n}}=4\cdot a_{\color{red}{n}-1}\implies d=4\)

OpenStudy (jdoe0001):

so the equation will be \(a_{\color{red}{ n}}=-6+({\color{red}{ n}}-1)4\implies \begin{array}{ccllll} term&value \\\hline\\ 1&a_{\color{red}{ 1}}=-6+({\color{red}{ 1}}-1)4\\ 2&a_{\color{red}{ 1}}=-6+({\color{red}{ 2}}-1)4\\ 3&a_{\color{red}{ 1}}=-6+({\color{red}{ 3}}-1)4\\ 4&a_{\color{red}{ 1}}=-6+({\color{red}{ 4}}-1)4\\ 5&a_{\color{red}{ 1}}=-6+({\color{red}{ 5}}-1)4\\ 6&a_{\color{red}{ 1}}=-6+({\color{red}{ 6}}-1)4\\ \end{array}\)

OpenStudy (lovelyharmonics):

okay so a_n=-6+(n-1)4 so .-. you did that in that amount of time.... i just finished writing the answer....

OpenStudy (jdoe0001):

hmm shoot... missed something =) \({\bf a_{\color{red}{ n}}=-6+({\color{red}{ n}}-1)4}\implies \begin{array}{llll} term&value \\\hline\\ 1&a_{\color{red}{ 1}}=-6+({\color{red}{ 1}}-1)4\\ 2&a_{\color{red}{ 2}}=-6+({\color{red}{ 2}}-1)4\\ 3&a_{\color{red}{ 3}}=-6+({\color{red}{ 3}}-1)4\\ 4&a_{\color{red}{ 4}}=-6+({\color{red}{ 4}}-1)4\\ 5&a_{\color{red}{ 5}}=-6+({\color{red}{ 5}}-1)4\\ 6&a_{\color{red}{ 6}}=-6+({\color{red}{ 6}}-1)4\\ \end{array}\)

OpenStudy (lovelyharmonics):

so itd be -6, -2, 2, 6, 10, 14?

OpenStudy (jdoe0001):

yeap

OpenStudy (lovelyharmonics):

lol well thats not one of my answers XD

OpenStudy (lovelyharmonics):

0, 4, -24, -20, -16, -12 -24, -96, -384, -1536, -6144, -24,576 -6, -24, -20, -16, -12, -8 -6, -24, -96, -384, -1536, -6144

OpenStudy (jdoe0001):

hmmmm..... ahemm hold... the mayo .... I think I got the wrong additive =)

OpenStudy (jdoe0001):

I kinda used the 4 as multiplier, implying a geometric sequence, rather than arithmetic

OpenStudy (lovelyharmonics):

whats an additive? .-.

OpenStudy (jdoe0001):

the difference

OpenStudy (lovelyharmonics):

-.- i hate math additive seems like you would be adding something.... but when you subtract you get the difference.....

OpenStudy (lovelyharmonics):

wait so if you dont multiply it by 4 are you dividing it?

OpenStudy (jdoe0001):

well, is an arithmetic sequence... so is meant to have a value added for each term as opposed to multiplied, that would make it a geometric sequence

OpenStudy (lovelyharmonics):

okay so its a_n= -6+(n-1)+4?

OpenStudy (lovelyharmonics):

which will be lol this still dosent come out to any of the answers

OpenStudy (jdoe0001):

right

OpenStudy (jdoe0001):

can you post a quick screenshot of the material?

OpenStudy (lovelyharmonics):

.-. how do you do that?

OpenStudy (jdoe0001):

hmmm wait... ... the question doesn't say is an arithmetic... so I guess it's a geometric sequence

OpenStudy (lovelyharmonics):

oh my john......

OpenStudy (jdoe0001):

so that means the d = 4... one sec

OpenStudy (jdoe0001):

\( {\bf a_{\color{red}{ n}}=a_1\cdot r^{{\color{red}{ n}}-1} \qquad a_1=-6\qquad a_{\color{red}{n}}=4\cdot a_{\color{red}{n}-1}\implies r=4 \\ \quad \\ a_{\color{red}{ n}}=a_1\cdot r^{{\color{red}{ n}}-1}}\implies \begin{array}{ccllll} term&value \\\hline\\ 1&a_{\color{red}{ 1}}=a_1\cdot r^{{\color{red}{ 1}}-1}\\ 2&a_{\color{red}{ 2}}=a_1\cdot r^{{\color{red}{ 2}}-1}\\ 3&a_{\color{red}{ 3}}=a_1\cdot r^{{\color{red}{ 3}}-1}\\ 4&a_{\color{red}{ 4}}=a_1\cdot r^{{\color{red}{ 4}}-1}\\ 5&a_{\color{red}{ 5}}=a_1\cdot r^{{\color{red}{ 5}}-1}\\ 6&a_{\color{red}{ 6}}=a_1\cdot r^{{\color{red}{ 6}}-1}\\ \end{array} \)

OpenStudy (lovelyharmonics):

oh my god -.- soooooo -6x4^n-1..... -6,-24, -96 lol okay so its b

OpenStudy (jdoe0001):

well, B doesn't have a -6 though

OpenStudy (lovelyharmonics):

yeah c:

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