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Math Example--Sequences and Series--Example 9
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Algebra >> Sequences and Series >> Sequences

Math Example--Sequences and Series--Example 9

Sequences and Series--Example 9

Sequences and Series Example 9

Topic

Sequences and Series

Description

This example uses the formula 8•2n with limits from n = 1 to n = 25. The sequence generated is: 

16

32

64

128

256

512

1024

2048

4096

8192

16384

32768

65536

131072

262144

524288

1048576

2097152

4194304

8388608

16777216

33554432

67108864

134217728

268435456

The sum of this sequence is 536,870,896. This geometric sequence demonstrates exponential growth, with each term being 8 times a power of 2. It illustrates the rapid increase in sequences with large exponents and coefficients.

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