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)
