# Precalculus : Sigma Notation

## Example Questions

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### Example Question #171 : Pre Calculus

Write the following series in sigma notation.

Explanation:

To write in sigma notation, let's make sure we have an alternating sign expression given by:

Now that we have the alternating sign, let's establish a function that increases by  per term starting at . This is given by

Putting it all together,

### Example Question #21 : Sequences And Series

Compute:

Explanation:

In order to solve this summation, substitute the bottom value of  to the function, plus every integer until the iteration reaches to 5.

### Example Question #23 : Sequences And Series

Evaluate:

Explanation:

To evaluate this, input the bottom integer into the expression . Repeat for every integer following the bottom integer until we reach to the top integer .  Sum each iteration.

Add these terms for the summation.

### Example Question #181 : Pre Calculus

What is the proper sigma sum notation of the summation of  ?

Explanation:

Given that the first term of the sequence is , we know that the first term of the summation must be , and thus the lower bound of summation must be equal to  There is only one option with this qualification, and so we have our answer.

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