The least value of for which the number of integral terms in the Binomial expansion of is , is:
- A
- B
- C
- D
MCQMediumJEE Main 2025 · 29 January, Shift 1Simple Applications
Mathematics Question from JEE Main 2025 · 29 January, Shift 1
Answer & step-by-step solution
Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.
Practice more Simple Applications questions
Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.
Related questions
- The coefficient of x⁴⁸ in (1+x) + 2(1+x)² + 3(1+x)³ + … + 100(1+x)¹⁰⁰ is equal toMedium · JEE 2026
- Let C_r denote the coefficient of x^r in the binomial expansion of (1+x)ⁿ, n∈ℕ, 0≤ r≤ n. If Pₙ = C₀ - C₁ +…Medium · JEE 2026
- The value of (100 C₅₀)/51 + (100 C₅₁)/52 + … + (100 C₁₀₀)/101 is:Medium · JEE 2026
- The sum of the coefficients of x⁴⁹⁹ and x⁵⁰⁰ in (1+x)¹⁰⁰⁰+x(1+x)⁹⁹⁹+x²(1+x)⁹⁹⁸+…+x¹⁰⁰⁰ is:Medium · JEE 2026
- If Σ_(r=0)⁵ ¹¹C_(2r+1)/(2r+2) = m/n, gcd(m, n) = 1, then m - n is equal to:Medium · JEE 2025
- The sum of all rational terms in the expansion of ( 1 + 2^(1/3) + 3^(1/2))⁶ is equal toMedium · JEE 2025