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

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)

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.