Write the recurrence relation for the nth term which is defined by multiplying the prior term by 3 and subtracting 12.

Aₙ = 3*Aₙ₋₁ - 12

Step-by-step explanation:

Here our terms will be denoted as:

Aₙ

Where this is the n-th term of the sequence.

Now we have that the recurrence relation is defined by:

"by multiplying the prior term by 3 and subtracting 12."

Then we will have that:

Aₙ = 3*Aₙ₋₁ - 12

That is the equation to find all the terms in our sequence (remember that we need to know the initial term, A₀ in order to find all the other ones)

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680