What are the next three terms of the following geometric sequence: 32, 48, 72 ...

The next three terms are 108, 162 and 243

Step-by-step explanation:

32, 48, 72 ...

Since the sequence is a gp, let us calculate the common ratio (r)

r = T2 / T1 = T3/T2

r = 48/32

r = 3/2

The first term (a) = 32

Now we are going to calculate for the next three term i. e T4, T5, and T6

T4 = ar^3

T4 = 32 x (3/2) ^3

T4 = 108

T5 = ar^4

T5 = 32 x (3/2) ^4

T5 = 162

T6 = ar^5

T6 = 32 x (3/2) ^5

T6 = 243

The next three terms are 108, 162 and 243

32

,

48

,

72

,

108

,162