Find the next two terms in the sequence: 3, 6, 12, 24,

48 , 96

Step-by-step explanation:

Given sequence is a GP

a = 3

r = 6/3 = 2

Next term = 24 × 2 = 48

Next secons term = 48 × 2 = 96

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.