Question

wat is the explicit formula for the geometric sequence with this recursive formula? a1=-6 and an=an-1*(1/4)

Answer 1

Answer:

an = -6*(1/4)^(n-1)

Step-by-step explanation:

We have that the recursive formula for the given geometric sequence is:

a1 = -6

an = (an-1) * (1/4)

With the above we can assume that:

r = 1/4

following the rule of the explicit formula that is given by:

an = a1 * (r) ^ (n-1)

we substitute and we have:

an = -6 * (1/4) ^ (n-1)

Therefore the explicit formula from the given data would be:

an = -6 * (1/4) ^ (n-1)