What is the next term in the sequence below? -324,108,-36, a) –4 b) –3 c) 3 d) 4

option a is correct

The next term in the sequence -324, 108, -36, 12,..... is -4

Step-by-step explanation:

In Geometric sequences it follows a pattern where the next term is found by multiplying by a constant i,e common ration(r)

For

Common ratio(r) =

the formula for nth term of this sequence is  given by;

Given the sequence: -324, 108, -36, 12,.....

This sequence is a geomtric sequence with common ratio = and

Since,

,

and so on..

We have to find the next term in this sequence i.e,

Using nth sequence formula:

Therefore, the next term in the sequence -324, 108, -36, 12,..... is -4

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.