How can I prove that if $G$ is a Pseudo Random Generator, then other generator is a PRG (while the range's size is different)?
For example: for the PRG $G$ (from $n$ to $t(n)$ where $n < t(n)$), the generator $G'$ (from $n$ to $n+1$), where $G'$ returns the first $n+1$ bits of $G$) is PRG too?
Is the fact that the ranges are different affect the indistinguishability between the PRGs?