## Algebra 1

Published by Prentice Hall

# Chapter 4 - An Introduction to Functions - 4-7 Sequences and Functions - Mixed Review - Page 279: 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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