Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - 4-7 Sequences and Functions - Mixed Review: 65

Answer

1. The function rule for this sequence would be A(n)=5+4(n-1). 2. The first six terms would be 5, 9, 13, 17, 21, 25

Work Step by Step

The function was created using the explicit formulas I devised the values were increasing by 4 and that the sixth term was 25. Thus, I found the A(1) value using these two values. A(6)=A(1)+4(6-1) 25 = A(1)+4(5) 25= A(1) +20 A(1) =5 2. First term --> A(1)= 5+4(1-1). = 5+4(0) = 5 Second term --> A(2)= 5+4(2-1) = 5+4(1) = 5+4 = 9 Third term --> A(3)= 5+4(3-1) = 5+4(2) = 5+8 =13 Fourth term --> A(4)=5+4(4-1) = 5+4(3) = 5 + 12 = 17 Fifth term --> A(5)= 5+4(5-1) = 5+4(4) = 5+16 = 21 Sixth term --> A(6)= 5+4(6-1) = 5+4(5) = 5 +20 = 25
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