Let an be the $\displaystyle a_n$ th digit after the decimal point in
7$\displaystyle pi$+2e . Evaluate
$\displaystyle \sum_{n=1}^\infty a_n (.1)^n.$
can someone show me how to solve this.
Should be your question like this:
Let $\displaystyle a_n$ be the $\displaystyle n$ th digit after the decimal point in $\displaystyle 7\pi+2e$ . Evaluate $\displaystyle \sum_{n=1}^\infty a_n (.1)^n.$
If so, the result would be $\displaystyle 7\pi+2e-\lfloor 7\pi+2e \rfloor$
If not, please clarify.
Floor function:
Floor and ceiling functions - Wikipedia, the free encyclopedia