Question 2 - A-Level Maths

Exam Board	SPS
Module	SPS FM (SPS FM)
Year	2019
Topic	Binomial Theorem (positive integer n)
Type	Standard binomial expansion coefficient

Find the coefficient of the $x ^ { 4 }$ term in $( 2 - 3 x ) ^ { 6 }$.
A sequence $u _ { 1 } , u _ { 2 } , u _ { 3 } , \ldots$ is defined by $u _ { n } = 3 n - 1$, for $n \geq 1$.
1. Find the values of $u _ { 1 } , u _ { 2 } , u _ { 3 }$.
2. Find
$$\sum _ { n = 1 } ^ { 40 } u _ { n }$$