Question

Find the fifth term of the sequence.

Answer 1

a) Substituting in n = 2,

`(3(2)^(2))/(2)=6`

b) Substituting in n = 5,

`(3(5)^(2))/(2)=(75)/(2)`

c) Setting the nth term to be greater than 50,

`(3n^(2))/(2)>50 \\ \\ n^(2) >(100)/(3) \\ \\ n>(10)/(√(3)) \\ \\ \lceil n \rceil = 6`