All High School Math Resources
Example Questions
Example Question #2 : Sequences And Series
Determine the summation notation for the following series:
The series is a geometric series. The summation notation of a geometric series is
,
where
is the number of terms in the series, is the first term of the series, and is the common ratio between terms.In this series,
is , is , and is . Therefore, the summation notation of this geometric series is:
This simplifies to:
Example Question #1 : Sequences And Series
Determine the summation notation for the following series:
The series is a geometric series. The summation notation of a geometric series is
,
where
is the number of terms in the series, is the first term of the series, and is the common ratio between terms.In this series,
is , is , and is . Therefore, the summation notation of this geometric series is:
This simplifies to:
Example Question #1 : Sequences And Series
Indicate the sum of the following series:
The formula for the sum of an arithmetic series is
,
where
is the first value in the series, is the number of terms in the series, and is the difference between sequential terms in the series.In this problem we have:
Plugging in our values, we get:
Example Question #1 : Sequences And Series
Indicate the sum of the following series:
The formula for the sum of an arithmetic series is
,
where
is the first value in the series, is the number of terms in the series, and is the difference between sequential terms in the series.Here we have:
Plugging in our values, we get:
Example Question #2 : Using Sigma Notation
Indicate the sum of the following series:
The formula for the sum of a geometric series is
,
where
is the first term in the series, is the rate of change between sequential terms, and is the number of terms in the seriesFor this problem, these values are:
Plugging in our values, we get:
Example Question #1 : Using Sigma Notation
Indicate the sum of the following series.
The formula for the sum of a geometric series is
,
where
is the first term in the series, is the rate of change between sequential terms, and is the number of terms in the seriesIn this problem we have:
Plugging in our values, we get: