Math Example--Sequences and Series--Example 10
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Algebra >> Sequences and Series >> Sequences

Math Example--Sequences and Series--Example 10

Sequences and Series--Example 10

Sequences and Series Example 10

Topic

Sequences and Series

Description

This example uses the formula -3•2n with limits from n = 1 to n = 30. The sequence generated is: -6, -12, -24, -48, -96, -192, -384, -768, -1536, -3072, -6144, -12288, -24576, -49152, -98304, -196608, -393216, -786432, -1572864, -3145728, -6291456, -12582912, -25165824, -50331648, -100663296, -201326592, -402653184, -805306368, -1610612736, -3221225472. The sum of this sequence is -6442450942. This geometric sequence shows exponential decay, where each term is a negative multiple of a power of 2. It illustrates how negative coefficients affect the sequence's direction and 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