Question

Select the sequence that is given by the following recursively defined equation:

{t (n+1) =t (n) - 6; t(1) = 60}
a. 60, 54, 48, 42, ...
b. 1, 6, 11, 16,
c. 360, 60, 10, , ...
d.-6,12, - 18, – 24, ...

Answer 1

The sequence generated by the given recursively defined equation t(n+1) = t(n) - 6, with an initial condition of t(1) = 60, is 60, 54, 48, 42, ...

Step-by-step explanation:

The given recursively defined equation is t(n+1) = t(n) - 6, with an initial condition of t(1) = 60.

To find the sequence generated by this equation, we can start with the initial value of 60, and for each subsequent term, subtract 6 from the previous term.

So, the sequence is: a. 60, 54, 48, 42, ...