Display Title
Math Example--Sequences and Series--Example 6
Display Title
Math Example--Sequences and Series--Example 6
Sequences and Series--Example 6
Topic
Sequences and Series
Description
This example uses the formula 2n with limits from n = 0 to n = 5. The sequence generated is: 1, 2, 4, 8, 16, 32. The sum of this sequence is 63. This geometric sequence demonstrates exponential growth, where each term is a power of 2. It highlights the concept of geometric progressions and their rapid increase.
For a complete collection of math examples related to Sequences and Series click on this link: Math Examples: Sequences and Series Collection.
Common Core Standards | CCSS.MATH.CONTENT.HSA.SSE.B.4, CCSS.MATH.CONTENT.HSF.IF.A.3, CCSS.MATH.CONTENT.HSF.BF.A.2, CCSS.Math.CONTENT.HSF.LE.A.2 |
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Grade Range | 9 - 12 |
Curriculum Nodes |
Algebra • Sequences and Series • Sequences • Series |
Copyright Year | 2020 |
Keywords | arithmetic sequence, geometric sequence, arithmetic series, geometric series |