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Name: Given the recursive formula: A(n)= A(n-1)+9 where A(1)=12, find the fi
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Description: Given the recursive formula: A(n)= A(n-1)+9 where A(1)=12, find the first four terms of the sequence

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Algebra

Given the recursive formula: A(n)= A(n-1)+9 where A(1)=12, find the first four terms of the sequenc

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CR: Chapter Review

Problem 16E

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Given the recursive formula: A(n)= A(n-1)+9 where A(1)=12, find the first four terms of the sequence

Expert Solution

Step 1

Given recursive formula is $A_{n} = A_{n - 1} + 9$ , Where $A_{1} = 12$ .

So first term is $A_{1} = 12$ ,Then next terms are

$A_{2} = A_{1} + 9 = 12 + 9 = 21$

$A_{3} = A_{2} + 9 = 21 + 9 = 30$

$A_{4} = A_{3} + 9 = 30 + 9 = 39$

$A_{5} = A_{4} + 9 = 39 + 9 = 48$

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