1.25 Exercises

Discrete vs continuous variable

Prove

\[\sum_{i=1}^k abx_i = ab \sum_{i=1}^k x_i\]

Prove

\[\prod_{i=1}^n c =c^n\]

Find the value of

\[\sum_{i=1}^{10} (x_i-4)\]

where

\[\sum_{i=1}^{10}=20\]