Question 1057961
The sum of the odd integers from 1 to n
is {{{ S = k^2 }}}
The k_th odd integer is {{{ n }}}
then {{{ k = ( n + 1 )/2 }}}
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The sum of the odd integers from 1 to 232 is
{{{ S = (( 231 + 1)/2)^2 }}}
{{{ S = ( 232/2 )^2 }}}
{{{ S = 116^2 }}}
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The sum of the odd integers from 1 to 28 is:
{{{ S = ( ( 27 + 1 )/2)^2 }}}
{{{ S = 14^2 }}}
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The sum of the odd intgers between 28 and 232 is
{{{ 116^2 - 14^2 = 13456 - 196 }}}
{{{ 13456 - 196 = 13260 }}} answer
Get another opinion on this if you can.
I'm not 100% sure.