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DECIDE !!!!!!!!!!!!!

DECIDE !!!!!!!!!!!!!-example-1
User Jim Wood
by
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1 Answer

4 votes

Answer:

  • 55

Explanation:

Use the identity for the sum of squares of n natural numbers:

  • Sₙ² = n(n + 1)(2n + 1)/6

Since we have the sum, 56980:

  • n(n + 1)(2n + 1)/6 = 56980
  • (n² + n)(2n + 1) = 56980*6
  • 2n³ + 3n² + n - 341880 = 0

Solve the equation graphically to get a natural solution of n = 55

DECIDE !!!!!!!!!!!!!-example-1
User Artiom  Kozyrev
by
3.5k points