Which of the following is the algebraic expression that best describes the sequence 1/11, 2/11, /3/11, 4/11
2 answers:
Answer:
The answer is D.
Step-by-step 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:
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Answer:
A. Between 3.0 and 3.5 and between 4.0 and 4.5
Step-by-step explanation:
The zeroes of a function occur whenever a value of x returns zero. To predict where the zeroes lie, determine the interval(s) where the function crosses the x-axis. This occurs when either goes from a negative value to a positive value or vice versa.
From and
, the y-values go from 4.0 (positive) to -0.2 (negative), respectively. Therefore, there must be a zero in this interval.
From and
, the y-values go from -0.8 (negative) to 0.1 (positive), respectively. Therefore, there must also be a zero in this interval.
Thus, the zeros of this function occur between 3.0 and 3.5 and between 4.0 and 4.5, leading to answer choice A.