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

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17