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lilavasa [31]
3 years ago
12

My first question ever, and my last question yet.

Mathematics
1 answer:
shtirl [24]3 years ago
3 0

Answer:

  • n = {14, 15, 16}

Step-by-step explanation:

<u>This is a sum of the first n terms of an AP:</u>

  • S = (1 + n)*n/2

<u>The true sum is between 92 and 145:</u>

  • 92 < n(n + 1)/2 < 145
  • 184 < n(n + 1) < 290
  • 184 < n² + n < 290
  • 185 < (n + 1/2)² < 291
  • √185 < n + 1/2 < √291
  • 14 ≤ n < 17

<u>Let n = 14</u>

  • S = 14*15/2 = 105

<u>Let n = 15</u>

  • S = 15*16/2 = 120

<u>Let n = 16</u>

  • S = 16*17/2 = 136

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