Question

Could I please have some help? Thanks

Answer 1

D

Explanation:

There is a common difference d between consecutive terms, that is

d = - 1
`(1)/(2)` -(-
`(1)/(2)` ) = - 1

d = - 2
`(1)/(2)` - (- 1
`(1)/(2)` ) = - 1

d = - 3
`(1)/(2)` - (- 2
`(1)/(2)` ) = - 1

This indicates the sequence is arithmetic with explicit formula

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = -
`(1)/(2)` and d = - 1 , thus

`a_(n)` = -
`(1)/(2)` - 1 (n - 1) = -
`(1)/(2)` - n + 1 =
`(1)/(2)` - n , where n = 1, 2, 3, 4, ......