Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....

Mathematics

2 answers:

pishuonlain [190]3 years ago

9 0

Answer:

the answer is D

Step-by-step explanation:

Alexandra [31]3 years ago

5 0

Answer:

Option D Both students could be correct. Because the numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.

Step-by-step explanation:

A geometric sequence has a common ratio. Here, that ratio would be 11/-5.5 = -2 if the sequence is geometric. That ratio would mean the next two terms are ...

11 × -2 = -22

-22 × -2 = 44

An arithmetic sequence has a common difference. Here, that difference would be 11 -(-5.5) = 16.5 if the sequence is arithmetic. That difference would mean the next two terms are ...

11 +16.5 = 27.5

27.5 + 16.5 = 44

These descriptions match those offered by the students, so both could be correct.

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Step-by-step explanation:

4.5 is a number in between 4 and 5, as a fraction it is written as $4\frac{1}{2}$ . To get the reciprocal you need to change it to an improper fraction so it becomes $\frac{9}{2}$ . The reciprocal will be 1 ÷ $\frac{9}{2}$ . This literally means the number will just invert and become $\frac{2}{9}$