Let the coefficients of three consecutive terms , , and in the binomial expansion of be in a G.P. and let be the number of all possible values of . Let be the sum of all rational terms in the binomial expansion of . Then is equal to:
- A
- B
- C
- D
MCQMediumJEE Main 2025 · 28 January, Shift 2Binomial Expansion
Mathematics Question from JEE Main 2025 · 28 January, Shift 2
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 Binomial Expansion questions
Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.
Related questions
- If the coefficient of x in the expansion of (ax²+bx+c)(1-2x)²⁶ is -56 and the coefficients of x² and x³ are…Medium · JEE 2026
- The sum of all possible values of n ∈ ℕ, so that the coefficients of x, x² and x³ in the expansion of…Medium · JEE 2026
- Let α, β, γ and δ be the coefficients of x⁷, x⁵, x³, x respectively in the expansion of (x + √(x³ - 1))⁵ + (x…Medium · JEE 2025
- If in the expansion of (1 + x)^p (1 - x)^q, the coefficients of x and x² are 1 and -2, respectively, then p²…Medium · JEE 2025
- For some n ≠ 10, let the coefficients of the 5^th, 6^th, and 7^th terms in the binomial expansion of (1 +…Medium · JEE 2025
- Suppose A and B are the coefficients of the 30th and 12th terms respectively in the binomial expansion of (1…Medium · JEE 2025