Answer
The sequence is arithmetic.
Recursive formula : A(n) = A(n - 1) - 0.8 ; A(1) = 0.2
Explicit formula : A(n) = 0.2 + (n - 1)(-0.8)
Work Step by Step
The sequence is arithmetic because there is a common difference between all the terms which is -0.8
Explicit formula- For this formula we need to find the d value and A(1) and we can find the d value by subtracting the second term from the first.
D = -0.6 - 0.2
D= -0.8
A(1) = 0.2 ; We can now form the equation A(n) = 0.2 + A(n - 1)(-0.8)
Recursive- For this formula, we need the common difference and A(1) and since the common difference is the same as the d value in the explicit formula, we can use that.
Common difference = -0.8
A(1) = 0.2; We can now form the equation A(n) = A(n - 1) -0.8 ; A(1) = 0.2
