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7. What is the 24th term of the geometric sequence that begins 10, 11, 12.1

User Landnbloc
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1 Answer

8 votes

Answer:

89.5430243255237372246531

Explanation:

The first term is a1=10. The common ratio is r=11/10 = 1.1. The n-th term is ...

an = a1·r^(n-1)

so the 24th term is ...

a24 = 10·1.1^(24-1) = 10·1.1^23

a24 = 89.5430243255237372246531

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Additional comment

Many calculators and spreadsheets do not maintain more than about 16 significant digits. The complete answer to this question requires 23 significant digits. Some calculators and web sites are capable of providing the correct answer.

User Mariz Melo
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5.9k points