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# Series Formula

A series indicates the summation of a given function. According to the number of terms the summation is different. Using this formula one can calculate the summation of different functions. The series formula is given as,

Where, x1, x2, x3 are observations

 Related Calculators Series Calculator Arithmetic Series Calculator Calculate Taylor Series Geometric Series Calculator

## Series Problems

Let us discuss the solved problems of different series.

### Solved Examples

Question 1: Find out $\sum_{i=1}^{4}x^{2}$+2 ?

Solution:

Given series is,

$\sum_{i=1}^{4}$ $x^{2}$+2

Expanding this series,
(12) + 2 = 3
(22) + 2 = 6
(32) + 2 = 11
(42) + 2 = 18

So, $\sum_{i=1}^{4}$ $x^{2}$+2 = 3+6+11+18 = 38

Question 2: Evaluate $\sum_{i=1}^{5}$x+2 ?

Solution:

Given series is,

$\sum_{i=1}^{5}$ x+2

The expansion is,
1 + 2 = 3
2 + 2 = 4
3 + 2 = 5
4 + 2 = 6
5 + 2 = 7

So, $\sum_{i=1}^{5}$ x+2 = 3 + 4 + 5 + 6 + 7 = 25

 More topics in Series Formula Infinite Series Formula
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