AQA AS Paper 2 2020 June — Question 5

Exam BoardAQA
ModuleAS Paper 2 (AS Paper 2)
Year2020
SessionJune
TopicBinomial Theorem (positive integer n)
TypeStandard binomial expansion

5 Joseph is expanding \(( 2 - 3 x ) ^ { 7 }\) in ascending powers of \(x\). He states that the coefficient of the fourth term is 15120
Joseph's teacher comments that his answer is almost correct.
Using a suitable calculation, explain the teacher's comment.