Question

PLEASE HELP!!

A sequenced is defined by an=-3/4an-1, and a3=9/16. What is the seventh term?

Answer 1

D

Explanation:

E2020

Answer 2

`a_(7)` =
`(729)/(4096)`

Explanation:

To obtain the next term in the sequence multiply the previous term by -
`(3)/(4)`

given
`a_(3)` =
`(9)/(16)`, then

`a_(4)` = -
`(3)/(4)` ×
`(9)/(16)` = -
`(27)/(64)`

`a_(5)` = -
`(3)/(4)` × -
`(27)/(64)` =
`(81)/(256)`

`a_(6)` = -
`(3)/(4)` ×
`(81)/(256)` = -
`(243)/(1024)`

`a_(7)` = -
`(3)/(4)` × -
`(243)/(1024)` =
`(729)/(4096)`