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: 66

Answer

The function rule for this sequence would be A(n)=30+6(n-1). The first six terms would be 30, 36, 42, 48, 54, 60 At sixth week, the bamboo is 60 inches tall

Work Step by Step

1. The explicit formula is A(n)=30+6(n-1) Because the sequence is in the form of A(n)=A(1)-d(n-1) and the value of A(1) is 30 as in the first week, the height is 30 in. The value of d is 6 as it grows 6 inches every week. 2. First term --> A(1)= 30+6(1-1). = 30+6(0) = 30 Second term --> A(2)= 30+6(2-1). = 30+6(1) = 30+6 = 36 Third term --> A(3)= 30+6(3-1). = 30+6(2) = 30 +12 = 42 Fourth term --> A(4)=30+6(4-1). = 30+6(3) = 30 +48= 48 Fifth term --> A(5)= 30+6(5-1). = 30+6(4) = 30 + 24 + 54 Sixth term --> A(6)= 30+6(6-1). = 30+6(5) = 30 +30 = 60
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