hard · GMAT Quant

A network router regulates packet throughput across six consecutive time intervals p_1, p_2, p_3, p_4, p_5, p_6. For each integer n ≥ 1, interval throughput satisfies p_n+1 = p_n + 2n + 1.

If packet throughput in the sixth interval p_6 is 50, what was the throughput in the first interval p_1?

  1. 15
  2. 18
  3. 23
  4. 25
  5. 35

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