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Example Questions
Example Question #21 : Sequences And Series
Write the following series in sigma notation.
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:
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:
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 #11 : Sigma Notation
What is the proper sigma sum notation of the summation of ?
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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