Question

Write out$\sum _{k=1}^4(4k+2)$

Short answer

$\sum _{k=1}^4(4k+2)=6+10+14+18$.

Step-by-step solution

Step 1. Given information.

$\sum _{k=1}^4(4k+2)$

Step 2. Expand the summation by substituting values of k.

$$\begin{gathered} \sum _{k=1}^4(4k+2)=(4.1+2)+(4.2+2)+(4.3+2)+(4.4+2) \\ =(4+2)+(8+2)+(12+2)+(16+2) \\ =6+10+14+18 \end{gathered}$$