Show your work. Determine the value of the first term and write a recursive definition for the following
sequence.
(12, 7, 2, -3,-8, …)
To determine the value of the first term, we can observe the pattern in the sequence:
12, 7, 2, -3, -8, ...
We can see that each term is decreasing by 5.
So, to find the first term, we would need to add 5 to the second term:
First term = second term + 5
First term = 7 + 5
First term = 12
Therefore, the first term of the sequence is 12.
A recursive definition for the sequence would be:
a₁ = 12
aₙ = aₙ₋₁ - 5 for n≥2