Find the maximal n satisfying a“n” >= 1/10
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0
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I have found the formula for the series that
a1 = 1
a3= 2
a6 = 3
a10 = 4
a 15= 5
a21 =6
And etc.
But I stucked on this formula, I have no idea to find the maximum n, can anyone give me some suggestion and steps for solving this problem ?
The series are :
1/1 , 1/4, 3/4, 1/9,3/9,5/9, 1/16,3/16,5/16,7/16, 1/25,...
sequences-and-series
asked Nov 24 at 14:32
Aster Zen
197
|
show 1 more comment
up vote
0
down vote
favorite
I have found the formula for the series that
a1 = 1
a3= 2
a6 = 3
a10 = 4
a 15= 5
a21 =6
And etc.
But I stucked on this formula, I have no idea to find the maximum n, can anyone give me some suggestion and steps for solving this problem ?
The series are :
1/1 , 1/4, 3/4, 1/9,3/9,5/9, 1/16,3/16,5/16,7/16, 1/25,...
sequences-and-series
asked Nov 24 at 14:32
Aster Zen
197
2
This is not clear at all. You appear to have defined a sequence ${a_n}$ for some $n$ though not all. There's no apparent reason why the definition shouldn't go on forever. None of this appears to have anything to do with $n≤frac 1{10}$.
– lulu
Nov 24 at 14:35
1
Voting to close the question as it is unclear what you are asking. If you can, please edit for clarity.
– lulu
Nov 24 at 14:51
@lulu I have taken a picture to give it more clear but I do not know how to attach this picture, can u help me ? I am a newbie, thanks before
– Aster Zen
Nov 24 at 14:55
I don't know how to attach pictures, sorry. Never done that.
– lulu
Nov 24 at 14:57
If you're using a browser, there's an icon at the top left of the edit field that looks like two mountains, one bigger than the other - the standard icon for picture, these days, infact - click on that & follow instructions. As for your series, it seems that values both arbitrarily small and arbitrarily close to 1/2 (but<1/2) occur infinitely in it.
– AmbretteOrrisey
Nov 24 at 16:59
|
show 1 more comment
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have found the formula for the series that
a1 = 1
a3= 2
a6 = 3
a10 = 4
a 15= 5
a21 =6
And etc.
But I stucked on this formula, I have no idea to find the maximum n, can anyone give me some suggestion and steps for solving this problem ?
The series are :
1/1 , 1/4, 3/4, 1/9,3/9,5/9, 1/16,3/16,5/16,7/16, 1/25,...
sequences-and-series
asked Nov 24 at 14:32
Aster Zen
197
I have found the formula for the series that
a1 = 1
a3= 2
a6 = 3
a10 = 4
a 15= 5
a21 =6
And etc.
But I stucked on this formula, I have no idea to find the maximum n, can anyone give me some suggestion and steps for solving this problem ?
The series are :
1/1 , 1/4, 3/4, 1/9,3/9,5/9, 1/16,3/16,5/16,7/16, 1/25,...
sequences-and-series
sequences-and-series
asked Nov 24 at 14:32
Aster Zen
197
asked Nov 24 at 14:32
Aster Zen
197
edited Nov 25 at 0:17
asked Nov 24 at 14:32
Aster Zen
197
asked Nov 24 at 14:32
Aster Zen
197
asked Nov 24 at 14:32
Aster Zen
197
197
2
This is not clear at all. You appear to have defined a sequence ${a_n}$ for some $n$ though not all. There's no apparent reason why the definition shouldn't go on forever. None of this appears to have anything to do with $n≤frac 1{10}$.
– lulu
Nov 24 at 14:35
1
Voting to close the question as it is unclear what you are asking. If you can, please edit for clarity.
– lulu
Nov 24 at 14:51
@lulu I have taken a picture to give it more clear but I do not know how to attach this picture, can u help me ? I am a newbie, thanks before
– Aster Zen
Nov 24 at 14:55
I don't know how to attach pictures, sorry. Never done that.
– lulu
Nov 24 at 14:57
If you're using a browser, there's an icon at the top left of the edit field that looks like two mountains, one bigger than the other - the standard icon for picture, these days, infact - click on that & follow instructions. As for your series, it seems that values both arbitrarily small and arbitrarily close to 1/2 (but<1/2) occur infinitely in it.
– AmbretteOrrisey
Nov 24 at 16:59
|
show 1 more comment
2
This is not clear at all. You appear to have defined a sequence ${a_n}$ for some $n$ though not all. There's no apparent reason why the definition shouldn't go on forever. None of this appears to have anything to do with $n≤frac 1{10}$.
– lulu
Nov 24 at 14:35
1
Voting to close the question as it is unclear what you are asking. If you can, please edit for clarity.
– lulu
Nov 24 at 14:51
@lulu I have taken a picture to give it more clear but I do not know how to attach this picture, can u help me ? I am a newbie, thanks before
– Aster Zen
Nov 24 at 14:55
I don't know how to attach pictures, sorry. Never done that.
– lulu
Nov 24 at 14:57
If you're using a browser, there's an icon at the top left of the edit field that looks like two mountains, one bigger than the other - the standard icon for picture, these days, infact - click on that & follow instructions. As for your series, it seems that values both arbitrarily small and arbitrarily close to 1/2 (but<1/2) occur infinitely in it.
– AmbretteOrrisey
Nov 24 at 16:59
2
2
This is not clear at all. You appear to have defined a sequence ${a_n}$ for some $n$ though not all. There's no apparent reason why the definition shouldn't go on forever. None of this appears to have anything to do with $n≤frac 1{10}$.
– lulu
Nov 24 at 14:35
This is not clear at all. You appear to have defined a sequence ${a_n}$ for some $n$ though not all. There's no apparent reason why the definition shouldn't go on forever. None of this appears to have anything to do with $n≤frac 1{10}$.
– lulu
Nov 24 at 14:35
1
1
Voting to close the question as it is unclear what you are asking. If you can, please edit for clarity.
– lulu
Nov 24 at 14:51
Voting to close the question as it is unclear what you are asking. If you can, please edit for clarity.
– lulu
Nov 24 at 14:51
@lulu I have taken a picture to give it more clear but I do not know how to attach this picture, can u help me ? I am a newbie, thanks before
– Aster Zen
Nov 24 at 14:55
@lulu I have taken a picture to give it more clear but I do not know how to attach this picture, can u help me ? I am a newbie, thanks before
– Aster Zen
Nov 24 at 14:55
I don't know how to attach pictures, sorry. Never done that.
– lulu
Nov 24 at 14:57
I don't know how to attach pictures, sorry. Never done that.
– lulu
Nov 24 at 14:57
If you're using a browser, there's an icon at the top left of the edit field that looks like two mountains, one bigger than the other - the standard icon for picture, these days, infact - click on that & follow instructions. As for your series, it seems that values both arbitrarily small and arbitrarily close to 1/2 (but<1/2) occur infinitely in it.
– AmbretteOrrisey
Nov 24 at 16:59
If you're using a browser, there's an icon at the top left of the edit field that looks like two mountains, one bigger than the other - the standard icon for picture, these days, infact - click on that & follow instructions. As for your series, it seems that values both arbitrarily small and arbitrarily close to 1/2 (but<1/2) occur infinitely in it.
– AmbretteOrrisey
Nov 24 at 16:59
|
show 1 more comment
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2
This is not clear at all. You appear to have defined a sequence ${a_n}$ for some $n$ though not all. There's no apparent reason why the definition shouldn't go on forever. None of this appears to have anything to do with $n≤frac 1{10}$.
– lulu
Nov 24 at 14:35
1
Voting to close the question as it is unclear what you are asking. If you can, please edit for clarity.
– lulu
Nov 24 at 14:51
@lulu I have taken a picture to give it more clear but I do not know how to attach this picture, can u help me ? I am a newbie, thanks before
– Aster Zen
Nov 24 at 14:55
I don't know how to attach pictures, sorry. Never done that.
– lulu
Nov 24 at 14:57
If you're using a browser, there's an icon at the top left of the edit field that looks like two mountains, one bigger than the other - the standard icon for picture, these days, infact - click on that & follow instructions. As for your series, it seems that values both arbitrarily small and arbitrarily close to 1/2 (but<1/2) occur infinitely in it.
– AmbretteOrrisey
Nov 24 at 16:59