Question

Could I please have some help? Thanks

Answer 1

Answer:

D

Step-by-step explanation:

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

d = - 1 $\frac{1}{2}$ -(- $\frac{1}{2}$ ) = - 1

d = -  2 $\frac{1}{2}$ - (- 1 $\frac{1}{2}$ ) = - 1

d = - 3 $\frac{1}{2}$ - (- 2 $\frac{1}{2}$ ) = - 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 = - $\frac{1}{2}$ and d = - 1 , thus

$a_{n}$ = - $\frac{1}{2}$ - 1 (n - 1) = - $\frac{1}{2}$ - n + 1 = $\frac{1}{2}$ - n , where n = 1, 2, 3, 4, ......