Evaluating the sum of an infinite series
👉 Learn how to find the sum of a series using sigma notation. A series is the sum of the terms of a sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is the first term, n is the term number and d is the common difference. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term, n is the term number and r is the common ratio.
Given a series using sigma notation, we evaluate the first few terms of the series in order to determine whether the series is arithmetic, geometric, or neither. if the series is arithmetic or geometric, we can use the formula for the arithmetic/geometric series above to evaluate the sum. If the series is neither arithmetic nor geometric, we can manually add each and every term to determine the sum.
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Organized Videos:
✅Series
• Series
✅Series | Learn About
• Series | Learn About
✅Find the Sum of the Arithmetic Series
• Find the Sum of the Arithmetic Series
✅Find the Sum of the Geometric Series
• Find the Sum of the Geometric Series
✅Write the Rule of the Geometric Series
• Write the Rule of the Geometric Series
✅Find the Sum of a Series
• Find the Sum of a Series
✅Write the Rule of the Series
• Write the Rule of the Series
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