Display Title
Math Example--Sequences and Series--Example 8
Display Title
Math Example--Sequences and Series--Example 8
Sequences and Series--Example 8
Topic
Sequences and Series
Description
This example uses the formula shown in the image. The sequence generated is: 12, 36, 108, 324, 972, 2916, 8748, 26,244. The sum of this sequence is 39,360. This geometric sequence shows exponential growth, where each term is 4 times a power of 3. It highlights the rapid increase typical of geometric sequences with larger bases.
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 |
