Sum of Sequences

The Meaning and Properties of the Summation Symbol

1. The Summation Symbol
   The sum of the terms from the first term to the -th term of a sequence can be expressed using the summation symbol as:
   
2. Properties of
3. (where is a constant)
4. (where is a constant)

Sums of Various Sequences

1. Sums of Powers of Natural Numbers
2. Sums of Sequences in Fraction Form
1. Sums of sequences in fraction form can be found by transforming them into partial fractions.
2. (where, )
2. Sums of sequences with square roots in the denominator can be found by rationalizing the denominator.