The next two numbers of the series is 27.5 and 44.
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The complete question is:
Mr. jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, .... taquan suggests that the sequence is geometric and the next two numbers are –22 and 44. julia suggests that the sequence is arithmetic and the next two numbers are 27.5 and 44. which best explains which student is correct?
Given AP = -5.5, 11, ...
a = 5.5
d= 11 - (-5.5) =16.5
Now, a₃ = a₂ + d
a₃ = 11 + 16.5
a₃ = 27.5
and, a₄ = 27.5 + 16.5
a₄ = 44
Now, Taquan case:
a = -5.5
r = 110/-5.5
r = -2
now, a₃ = -2(11) = -22
a₄ = -2(-22) = 44
Learn more about AP here:
https://brainly.com/question/26204316
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