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Mathematics 7 Online
OpenStudy (sloppycanada):

Write 1/6 + 1/7 +1/8 +1/9 +1/10 in sigma notation.

Vocaloid (vocaloid):

well, we can start with n = 6 and end with n = 10 to make things easy

OpenStudy (sloppycanada):

So far, I've got the following - |dw:1465501767265:dw|

Vocaloid (vocaloid):

if n = 1, how do we write 1/6 in terms of n?

OpenStudy (sloppycanada):

I'm not actually sure. So I guess n = 1/6

Vocaloid (vocaloid):

not quite

Vocaloid (vocaloid):

let's say we want to write the fraction 1/6 without using 6.

Vocaloid (vocaloid):

instead, we can only use n, which equals 1

Vocaloid (vocaloid):

how can we still write 1/6, without using 6?

Vocaloid (vocaloid):

need a hint?

OpenStudy (sloppycanada):

Yes please.

Vocaloid (vocaloid):

6 = n + 5

Vocaloid (vocaloid):

know where to go from there?

OpenStudy (sloppycanada):

Not really, this part was never my strong suit.

Vocaloid (vocaloid):

we can replace "6" with "n + 5"

Vocaloid (vocaloid):

so 1/6 becomes 1/(n+5)

Vocaloid (vocaloid):

|dw:1465502039779:dw|

Vocaloid (vocaloid):

and that's your answer

OpenStudy (sloppycanada):

Ohhhh okay.

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