Construct a sequence of interpolating values $Y_n, to,f(1 + \sqrt{10})$, where $f(x) = (1 + X^2)^{-1}$ for
$-5 \leq X \leq 5$, as follows: For each n = 1,2, ... ,10, let h = 10/n
$x_j^n= -5 + jh$, for each j = 0, 1,2, ... ,n.
How would i set up this sequence?

Question

Construct a sequence of interpolating values $Y_n,  to,f(1 + \sqrt{10})$, where $f(x) = (1 + X^2)^{-1}$ for 
$-5 \leq X \leq 5$, as follows: For each n = 1,2, ... ,10, let h = 10/n 
$x_j^n= -5 + jh$, for each j  = 0, 1,2, ... ,n. 
How would i set up this sequence?

swissgirl · Answer

@Hero Like what would my x values be?

swissgirl · Answer

I am kinda lost on setting up this sequence

hero · Answer

I'm surprised mathematica isn't very useful in this regard

swissgirl · Answer

All i need is the sequence. I don't follow the question exactly. Once I know what my x-values are the rest is simple and I can use mathematica