Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Find the seventh term of the expansion of (2x - 3)^10
Options
A 64
B 2.5x^10
C 32
D 5x^6
Correct Answer

Option E is the correct answer.

Detailed Explanation

The (r+1)th term is C(n,r)(a)^(n-r)(b)^r. For the 7th term, r = 6: T7 = C(10,6)(2x)^4(-3)^6 = 210 × 16x^4 × 729 = 2449440x^4.

Hint

The 7th term corresponds to r = 6 in the binomial formula.

Question Info