Question 1161199

Seventeen consecutive positive integers have a sum of {{{306}}}. What is the sum of the seventeen consecutive integers that immediately follow the seventeen positive integers that sum to {{{306}}}?


Each of the following {{{17}}} is {{{17}}} more than its corresponding integer in the 1st {{{17}}}.

---> {{{306 + 17*17=306+ 289= 595}}}


check:
{{{n+ n + 1+ n+2+ n+3+ n+4+ n+5+n+6+n + 7+ n+8+ n+9+n+10+n+11+n+12+n + 13+ n+14+ n+15+n+16 =306}}}
{{{n=10}}}->first number

numbers are:
{{{10}}},{{{11}}},{{{12}}},{{{13}}},{{{14}}},{{{15}}},{{{16}}},{{{17}}},{{{18}}},{{{19}}},{{{20}}},{{{21}}},{{{22}}},{{{23}}},{{{24}}},{{{25}}},{{{26}}}->{{{sum=306}}}

Each of the following {{{17}}} is {{{17}}} more:

{{{27}}},{{{28}}},{{{29}}},{{{30}}},{{{31}}},{{{32}}},{{{33}}},{{{34}}},{{{35}}},{{{36}}},{{{37}}},{{{38}}},{{{39}}},{{{40}}},{{{41}}},{{{42}}},{{{43}}}->{{{sum=595}}}