Question

Drag and drop the correct number or expression into each box to complete the recursive rule to describe the sequence 8, 16, 24, 32 ... f(1) =(_____),f(n)=f(____)+______ for each whole number greater than 1. 16 n +1 8 n - 1

Answer 1

1) Writing a Recursive rule for that Arithmetic Sequence

Let's firstly pick the first element, a recursive rule depends on the previous element.

f(1) = 8

2) Looking at the Sequence, the common ratio is 8

f(1)= 8

f(3+1)

f(4) = 8 +(3-1)*8

f(2) = 8 +(2)8

f(2) = f(3)

For n > 1

f(2) = f(1) +8

So f(n) = f(n-1) +8