Question

Consider a sequence given by the formula a n = a n -1 − 5, where a1 = 12 and n ≥ 2.

Create an explicit formula of the sequence. Use the explicit formula to find of the
sequence. Give your answer in the answer space.
a100

Answer 1

a= n+6 n

Explanation:

n=an−1−5

Step 1: Flip the equation.

an−6=n

Step 2: Add 6 to both sides.

an−6+6=n+6

an=n+6

Step 3: Divide both sides by n.

an n = n+6 n a= n+6 n