Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 4 - An Introduction to Functions - 4-7 Arithmetic Sequences - Practice and Problem-Solving Exercises: 61

Answer

1. The second term is 10 2. The third term is 11.2 3. The fourth term is 12.4 4. The explicit formula is A(n)=8.8+1.2(n-1)

Work Step by Step

A(1)=8.8 A(n)=A(n-1)+1.2 1. The second term is A(2)=A(2-1) +1.2 = A(1)+1.2 = 8.8 +1.2 = 10 2. The third term is A(3)=A(3-1)+1.2 = A(2)+1.2 = 10+1.2 = 11.2 3. The fourth term is A(4)=A(4-1)+1.2 = A(3)+1.2 = 11.2 +1.2 = 12.4 4. The explicit formula is A(n)=8.8+1.2(n-1) Because the sequence is in the form of A(n)=A(1)-d(n-1) and the value of A(1) is 8.8 and the value of d is 1.2 as it was derived from the recursive formula and also from the sequence.
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