Question 205056
there is a "canned" formula; but if you look at what's going on, it is pretty straightforward


the difference between consecutive terms in this sequence is 2


the first term is 2


let X be the number of terms it takes to sum to 60762


the value of the nth term is 2n


the sum of the 1st and last terms is 2 + 2X
the sum of the 2nd and next to last terms is 4 + (2X-2) or 2X + 2
the sum of the 3rd and second to last trems is 6 + (2X-4) or 2X + 2
this pattern is consistent
the number of pairs is HALF the number of terms


so the sum of X terms of the sequence is (2X + 2)(X / 2) or X^2 + X


X^2 + X = 60762 ___ X (X + 1) = 60762 


so you are looking for two factors of 60762 that are one number apart
___ the values are close to the square root of 60762
___ 246 and 247


246 terms