Question

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?

Answer 1

Both students could be correct.

Step-by-step explanation:

Consider the provided information.

The provided sequence is –5.5, 11, ....

first find the common ratio for geometric sequence.

$r=rac{11}{-5.5}=-2$

If the sequence is geometric, then the next two terms are:

11×(-2)=-22

-22×(-2)=44

Hence, Taquan could be correct.

Now, again consider the provided sequence is –5.5, 11, ....

An arithmetic sequence has a common difference so, find the common difference.

d=11-(-5.5)=16.5

If the sequence is arithmetic, then the next two terms are:

11+16.5=27.5

27.5+16.5=44

Hence, Julia could be correct.

#Learn more

Find the first term of a G.P. in which S6 = 4095 and r = 4 ​

https://brainly.in/question/11504068

Answer 2

Answer:

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.

Step-by-step explanation: