Arithmetic
Arithmetic
Sum of Finite Series
When adding a small number of terms, the process used in the previous examples is effective. When the application requires the addition of a large number of terms, this process becomes too cumbersome and a formula will accelerate the process.
Consider the sequence from the previos example.
In this sequence, add terms 1 and 6, terms 2 and 5, and terms 3 and 4.
Consider the sequence from the previos example.
1, 4, 7, 10, 13, 16
In this sequence, add terms 1 and 6, terms 2 and 5, and terms 3 and 4.
Notice each pair has the same sum and there are 
of these sums.
of these sums.