Hi,
It is asked to write [imath]1.\dot 5[/imath] as a fraction (GCSE Higher)
I use the geometric series formula but I don't know whether I can use it at this level or not?
[imath]1.\dot 5=1+5\sum\limits_{k^\ge 1}(10^{-1})^k=1+5\left(\dfrac{1}{1-10^{-1}}-1\right)=\dfrac{14}{9}[/imath]
Thanks
It is asked to write [imath]1.\dot 5[/imath] as a fraction (GCSE Higher)
I use the geometric series formula but I don't know whether I can use it at this level or not?
[imath]1.\dot 5=1+5\sum\limits_{k^\ge 1}(10^{-1})^k=1+5\left(\dfrac{1}{1-10^{-1}}-1\right)=\dfrac{14}{9}[/imath]
Thanks