Expansion for positive integral index, general and middle terms, applications.
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Q1 · Binomial Theorem (Class 11 — ~20% weight) · MEDIUM
Find the coefficient of x^5 in the expansion of (2x + 3)^7.
Q2 · Binomial Theorem (Class 11 — ~20% weight) · HARD
In the expansion of (1 + x)^n, if the coefficients of the 5th, 6th and 7th terms are in arithmetic progression, then find the value of n.
Q3 · Binomial Theorem (Class 11 — ~20% weight) · EASY
Find the middle term in the expansion of (3x - 2y)^8.
Q4 · Binomial Theorem (Class 11 — ~20% weight) · MEDIUM
If the coefficient of x⁷ in the expansion of (1 + 2x)ⁿ is equal to the coefficient of x⁸, then the value of n is:
Q5 · Binomial Theorem (Class 11 — ~20% weight) · EASY
The middle term in the expansion of (2x − 3y)⁸ is: