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MathsJEE Main 23 Jan 2026, Shift 2·Q20·MCQ·Easy–moderate

Sequences & Series · Nth term from sum

Let ∑k=1nak=αn2+βn\displaystyle\sum_{k=1}^{n} a_k = \alpha n^2 + \beta n. If a10=59a_{10} = 59 and a6=7a1a_6 = 7a_1 then α+β\alpha + \beta is equal to
  1. (1)12
  2. (2)3
  3. (3)5
  4. (4)7

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