Question

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Answer 1

C

Explanation:

the nth term of a geometric sequence is

`a_(n)` = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

the first term a₁ from the table below n = 1, a₂ below n = 2 and so on

here a₁ = 100 and r =
`(a_(2) )/(a_(1) )` =
`(-50)/(100)` = -
`(1)/(2)` , then

`a_(n)` = 100
`(-(1)/(2)) ^(n-1)`