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Mathematics 26 Online
OpenStudy (anonymous):

Find an explicit rule for the nth term of the sequence. 7, -7, 7, -7, ...

OpenStudy (anonymous):

@Nnesha Would it be an = 7 • (-1)n - 1?

OpenStudy (anonymous):

Or an = 7 • (-1)n

OpenStudy (xapproachesinfinity):

depends what you start with n=0 or n=1?

OpenStudy (anonymous):

How can I tell? @xapproachesinfinity

OpenStudy (xapproachesinfinity):

if you decided to start with n=1 as your first term then a_n= 7.(-1)^{n-1}

OpenStudy (welshfella):

your first one is correct 7 * (-1)^(n-1)

OpenStudy (anonymous):

Oh ok thanks so much! Could you help me with another one?

OpenStudy (xapproachesinfinity):

there is no consequence in choosing an=7(-1)^n as a correct answer as well

OpenStudy (xapproachesinfinity):

it really depends on what i said

OpenStudy (anonymous):

For Find the vertices and foci of the hyperbola with equation quantity x minus 5 squared divided by 144 minus the quantity of y minus 4 squared divided by 81 = 1. Would the answer be -5?

OpenStudy (welshfella):

this is a geometric series with common ratio = -1

OpenStudy (xapproachesinfinity):

both are good as i see it

OpenStudy (xapproachesinfinity):

just point that n>0 if you choose the first

OpenStudy (xapproachesinfinity):

otherwise choose the second

OpenStudy (anonymous):

Ok thanks For Find the vertices and foci of the hyperbola with equation quantity x minus 5 squared divided by 144 minus the quantity of y minus 4 squared divided by 81 = 1. Would the answer be -5?

OpenStudy (xapproachesinfinity):

post that on different post

OpenStudy (anonymous):

Ok

OpenStudy (welshfella):

I see your point "xapproachesinfinity but in the case of a geometric series it always seems to start with n = 1.

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