Question

Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.

Answer 1

`a_1=3`

`a_2=-4a_1`

`a_3=-4a_2=(-4)^2a_1`

`\cdots`

`a_6=-4a_5=\cdots=(-4)^5a_1`


`\implies a_6=(-4)^5\cdot3=-3072`