### All Precalculus Resources

## Example Questions

### Example Question #21 : Sequences And Series

Write the following series in sigma notation.

**Possible Answers:**

**Correct answer:**

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 #22 : Sequences And Series

Compute:

**Possible Answers:**

**Correct answer:**

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 #11 : Sigma Notation

Evaluate:

**Possible Answers:**

**Correct answer:**

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 #12 : Sigma Notation

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

**Possible Answers:**

**Correct answer:**

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.

Certified Tutor