The function of the sequence is linear. The slope of the function is . What number should be first in the sequence? "______1/2," 0,-1/2-1

Answer 1

To find the first number in the sequence, we need to determine the value of the sequence when the position is 1.

Since the function is linear, we can use the formula for the nth term of an arithmetic sequence:

nth term = first term + (n - 1) * common difference

In this case, the common difference is the slope of the function, which is 1/2.

So, for the first term (when n = 1), the formula becomes:

1st term = first term + (1 - 1) * 1/2

Simplifying this expression gives us:

1st term = first term

Therefore, the first number in the sequence should be the same as the first term. Given the available options, there is one number missing before 1/2, which is 1.

So, the first number in the sequence is 1.