The GATE Grind

GATE Engineering Mathematics: Calculus: Sequences and series, tests for convergence – Previous Year Questions

3 GATE previous year questions on Calculus: Sequences and series, tests for convergence (Engineering Mathematics, Biotechnology) with answers and explanations, from every paper.

  1. GATE 2021 BT Q30 (1 mark, Numerical answer) – The sum 1+1/3+1/32+1/33+ (one decimal place) is .
  2. GATE 2025 BT Q59 (2 marks, Numerical answer) – Let a 0 = 0 and define a n = 12(1 + a n-1) for all positive integers n 1. The least value of n for which 1 - a n < 1210 is . (Answer in integer)
  3. GATE 2024 BT Q29 (1 mark, Multiple choice) – The value of the series 1 + x + 2 x + 3 x + at x = 4 is .