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If S is the sum of the first n positive integers, what is

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If S is the sum of the first n positive integers, what is [#permalink] New post 22 Jul 2003, 21:39
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If S is the sum of the first n positive integers, what is the value of n ?

(1) S < 20
(2) s2 > 220
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 [#permalink] New post 22 Jul 2003, 23:07
probably squared

(1) S<20 not suf 1+2, 1+2+3, and so on. Many sums are less than 20
(2) S^2>220 and so >196=14^2
thus S>14 again of no use

combine 14<S<20

now see a row of S: 1, 3, 6, 10, 15, 21, ... only 15 (1+2+3+4+5) matches
n=5

Thus, C.
  [#permalink] 22 Jul 2003, 23:07
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