The question is, if f(x) is equal to the series from n to infinity of a sub n times (x-7)^n for all n, find a formula for a sub 10. (I apologize for typing it out in the way that I did, but it was the only way I could.
I don't quite understand what is being asked here. I tried writing an equation where the series is equal to (a sub n)/(1-r), but that didn't seem to work. Could someone explain to me what I am supposed to do here?
Consider the tenth derivative of f(x) at x = 7.
math
To find a formula for a sub 10 in the series f(x), we need to first understand the expression given.
The expression f(x) is defined as the series from n to infinity of a sub n times (x-7)^n for all n. This means that the value of f(x) is the sum of an infinite number of terms, each term consisting of a sub n multiplied by (x-7) raised to the power of n.
To find a sub 10, we need to determine the coefficient associated with (x-7)^10 in the series. In other words, we are looking for the value of a sub 10.
To find a sub 10, we can extract the coefficient of (x-7)^10 from the series expression.
The general term in the series expression is given by a sub n times (x-7)^n. We can rewrite this to highlight the term that corresponds to n=10:
a sub 10 times (x-7)^10.
By comparing this with the given expression, we can conclude that the coefficient of (x-7)^10 in the series is a sub 10.
Therefore, the formula for a sub 10 is simply a sub 10 itself.
In order to determine the specific value of a sub 10, we would need more information. It could be provided explicitly or given in the context of a problem or equations.
So, to summarize, the formula for a sub 10 is a sub 10 itself, but we need additional information to determine its specific value.