this arithmetic sequence is defined by the function f(n).

9, 13, 17, 21, 25,

what is the y-intercept of this function?

  y = 5

Step-by-step explanation:

The first term (a1) is 9, and the common difference (d) is 4. Then the general term is ...

  an = a1 + (n-1)·d = 9 + 4(n -1) = 4n +5

The "y-intercept" corresponds to the value when n=0. That value is ...

  a0 = 4·0 +5 = 5

The y-intercept is 5.

_____

Comment on the problem

We have computed f(n) for n=0, but we must realize that n=0 is outside the domain of the function. This function only makes sense for integer values of n that are greater than zero. The "real" answer is that the y-intercept is "undefined."

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

⭐⭐