Question

D(1)=8
D(n)=d(n-1)•(-5)
Find the 3rd term

Answer 1

The 3rd term is 200

Explanation:

∵
`D_(1)` = 8

- That means the first term of the sequence is 8

∵
`D_(n)` =
`D_(n-1)` . (-5)

- That means the next term is the product of the previous term and -5

∴
`D_(2)` =
`D_(1)` . (-5)

∵
`D_(1)` = 8

∴
`D_(2)` = 8 . (-5)

∴
`D_(2)` = - 40

∴ The 2nd term is -40

Let us find the third term

∵
`D_(3)` =
`D_(2)` . (-5)

∵
`D_(2)` = - 40

∴
`D_(3)` = (-40) . (-5)

∴
`D_(3)` = 200

∴ The 3rd term is 200