Display Title
Math Example--Sequences and Series--Example 7
Display Title
Math Example--Sequences and Series--Example 7
Sequences and Series--Example 7
Topic
Sequences and Series
Description
This example uses the formula 3•2n with limits from n = 0 to n = 5. The sequence generated is: 3, 6, 12, 24, 48, 96. The sum of this sequence is 189. This geometric sequence shows exponential growth, with each term being 3 times a power of 2. It illustrates how multiplying a geometric sequence by a constant affects the sequence and its sum.
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 |
|---|---|
| Grade Range | 9 - 12 |
| Curriculum Nodes |
Algebra • Sequences and Series • Sequences • Series |
| Copyright Year | 2020 |
| Keywords | arithmetic sequence, geometric sequence, arithmetic series, geometric series |
