Question

Which of the following is the algebraic expression that best describes the sequence 1/11, 2/11, /3/11, 4/11

A. 11/x
B. 11x
C. x+1/11
D. X/11

Answer 1

The answer is D. x/11

Say you need to find the xth place in the sequence. Based on the fact that the 1st place is 1/11, the 2nd place is 2/11, and so on, to find the value of the xth place in the sequence the answer is x/11.

Answer 2

The answer is D.
`(x)/(11)`

Explanation:

In order to determine the correct sequence, we need to find differences in the numerator and the denominator of the fraction between two continuous terms.

In the numerator, the number is increasing in one digit. The first term in the numerator of the sequense is 1, the second is 2, the third is 3, and so on.

In the denominator, the number is constant (11).

Therefore, we define a "x" variable that represents the number in the numerator. So to find the value of the nth place in the sequence is:

`(x)/(11)`