Question

The function of the sequence is linear. The slope of the function is 1 2 . What number should be first in the sequence?

A) -1
B) - 1 4
C) 1
D) 2

Answer 1

The first number in the sequence with a linear function and slope of 1/2 is C) 1.

Step-by-step explanation:

The slope of a linear function represents the rate of change of the function. In this case, the slope is 1/2, which means that for every increase of 1 in the x-value, the y-value increases by 1/2. To find the first number in the sequence, we need to identify the y-intercept, which is the value of y when x is 0. Given that the function is linear, we can use the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Since the slope is 1/2 and the function is linear, the y-intercept is the first number in the sequence. Therefore, the answer is C) 1.