Derive the bound of a summation
if I have an equation like this:
$sum_{1=1}^{n} TW_1+TW_2+......+TW_n = H$
If H is given, can I derive any formula so that I can get a value of n?
I am attempting to explain the scenario in bit more details.
$P_1,P_2,P_3$ are three given inputs. My H will be $LCM(P_1,P_2,P_3)$.
My $TW_1$ will be $TW_1= P_2-P_1$; and $TW_2= P_3-P_2$
so in this case
$$sum_{1=1}^{2} TW_1+TW_2 = H$$
In case say I have $k$ numbers of $P$ value, can I approximate the number of $TW's$, I will achieve.
Any comments will be highly appreciated.
Many thanks
sequences-and-series summation
asked Nov 28 at 11:24
user38375
164
add a comment |
if I have an equation like this:
$sum_{1=1}^{n} TW_1+TW_2+......+TW_n = H$
If H is given, can I derive any formula so that I can get a value of n?
I am attempting to explain the scenario in bit more details.
$P_1,P_2,P_3$ are three given inputs. My H will be $LCM(P_1,P_2,P_3)$.
My $TW_1$ will be $TW_1= P_2-P_1$; and $TW_2= P_3-P_2$
so in this case
$$sum_{1=1}^{2} TW_1+TW_2 = H$$
In case say I have $k$ numbers of $P$ value, can I approximate the number of $TW's$, I will achieve.
Any comments will be highly appreciated.
Many thanks
sequences-and-series summation
asked Nov 28 at 11:24
user38375
164
add a comment |
if I have an equation like this:
$sum_{1=1}^{n} TW_1+TW_2+......+TW_n = H$
If H is given, can I derive any formula so that I can get a value of n?
I am attempting to explain the scenario in bit more details.
$P_1,P_2,P_3$ are three given inputs. My H will be $LCM(P_1,P_2,P_3)$.
My $TW_1$ will be $TW_1= P_2-P_1$; and $TW_2= P_3-P_2$
so in this case
$$sum_{1=1}^{2} TW_1+TW_2 = H$$
In case say I have $k$ numbers of $P$ value, can I approximate the number of $TW's$, I will achieve.
Any comments will be highly appreciated.
Many thanks
sequences-and-series summation
asked Nov 28 at 11:24
user38375
164
if I have an equation like this:
$sum_{1=1}^{n} TW_1+TW_2+......+TW_n = H$
If H is given, can I derive any formula so that I can get a value of n?
I am attempting to explain the scenario in bit more details.
$P_1,P_2,P_3$ are three given inputs. My H will be $LCM(P_1,P_2,P_3)$.
My $TW_1$ will be $TW_1= P_2-P_1$; and $TW_2= P_3-P_2$
so in this case
$$sum_{1=1}^{2} TW_1+TW_2 = H$$
In case say I have $k$ numbers of $P$ value, can I approximate the number of $TW's$, I will achieve.
Any comments will be highly appreciated.
Many thanks
sequences-and-series summation
sequences-and-series summation
asked Nov 28 at 11:24
user38375
164
asked Nov 28 at 11:24
user38375
164
asked Nov 28 at 11:24
user38375
164
asked Nov 28 at 11:24
user38375
164
asked Nov 28 at 11:24
user38375
164
164
add a comment |
add a comment |
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