Lower limit of summation

Definition

The lower limit of summation is the starting index value in a summation notation, often denoted by $i=1$ or another integer. It indicates where the series begins.

5 Must Know Facts For Your Next Test

1. The lower limit determines the first term included in the sum.
2. Changing the lower limit can affect the total value of the series.
3. It is usually represented as $i=m$, where $m$ is an integer.
4. In finite series, it is combined with an upper limit to define the range of summation.
5. In infinite series, altering the lower limit can change whether the series converges or diverges.

Review Questions

Related terms

Upper Limit of Summation: The ending index value in a summation notation, indicating where the series ends.

Series:

The sum of terms of a sequence.

$\Sigma$ Notation: $\Sigma$ (sigma) notation is used to represent summations compactly.