AnswersCMS 2026-2027 NC Math 1 CREDIT RECOVERYFunctions — TestQuestion 18
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Question 18 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Mr. Jones asks his students to generate the next two numbers in the sequence beginning negative 5 point 5 comma 11 comma dots Taquan suggests that the sequence is geometric and the next two numbers are negative 22 and 44 Julia suggests that the sequence is arithmetic and the next two numbers are 27 point 5 and 44 Which best explains which student is correct?

Answer
A
Taquan is correct. When the signs change in a sequence, the sequence is geometric. Each successive term is generated by multiplying by negative 2 .
B
Julia is correct. When the numbers alternate between decimals and whole numbers, the sequence is arithmetic. Each successive term is generated by adding 16 point 5 .
C
Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.
D
Both students could be correct about the types of possible sequences. However, one student made a computational error because it is not possible to arrive at a fourth term of 44 in two different ways.

Explanation

Both rules fit the two given terms, −5.5 and 11. The common ratio is 11 ÷ (−5.5) = −2, which gives −22 and 44; the common difference is 11 − (−5.5) = 16.5, which gives 27.5 and 44. So Taquan and Julia can both be correct, and both sequences reach 44 as the fourth term.

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