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16, 11, 8.5, 7.25, what’s the next number?

Sagot :

lilyanantoinette

Answer:

6.625 or 6.3

Step-by-step explanation:

16-11=5

11-8.5=2.5

8.5-7.25=1.25

5/2=2.5

2.5/2=1.25

1.25/2=0.625

The difference between the 2 terms is x is divided by 2 and the result is subtracted from the second term. Then the fifth term is 6.625.

What is a sequence?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The sequence is given below.

16, 11, 8.5, and 7.25.

The difference between the first 2 terms is 5.

The difference between the next 2 terms is 2.5.

The difference between the next 2 terms is 1.25.

We can observe that the difference between the 2 terms is x is divided by 2 and the result is subtracted from the second term.

The subtraction pattern is given as

[tex]\dfrac{5}{(2)^{n - 2}}[/tex]

Then the fifth number will be

[tex]\dfrac{5}{2^{5-2}} = \dfrac{5}{2^3} = \dfrac{5}{8} = 0.625[/tex]

Then subtract 0.625 from 7.25, we have

→ 7.25 - 0.625 = 6.625

More about the sequence link is given below.

https://brainly.com/question/21961097

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