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
