Precalculus : Sigma Notation

Study concepts, example questions & explanations for Precalculus

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Example Questions

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Example Question #11 : Sigma Notation

Write the following series in sigma notation.

Possible Answers:

Correct answer:

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 #11 : Sigma Notation

Compute:  

Possible Answers:

Correct answer:

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 #171 : Pre Calculus

Evaluate:  

Possible Answers:

Correct answer:

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 #12 : Sigma Notation

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

Possible Answers:

Correct answer:

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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