What is the value of X in the sequence 2, 12, 36, 80, 150, X?

What is the value of X in the sequence 2, 12, 36, 80, 150, X?
  1. 248
  2. 252
  3. 258
  4. 262

Solution

The terms are $n^2 + n^3$: $1+1=2$, $4+8=12$, $9+27=36$, $16+64=80$, $25+125=150$, and for n = 6: $36 + 216 = 252$. Hence X = 252.

Asked in: CSAT 2022

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