Question

find the sum of the finite series.
\\(\sum_{n=1}^{18} 24\\)

Explanation:

Step1: Understand the summation

The summation $\sum_{n = 1}^{18}24$ means we are adding the constant 24 a total of 18 times.

Step2: Calculate the sum

The formula for the sum of a constant $c$ from $n = 1$ to $n = k$ is $S=k\times c$. Here, $k = 18$ and $c = 24$. So we calculate $18\times24$.
$18\times24=(20 - 2)\times24=20\times24-2\times24 = 480-48=432$

Answer:

432