Ageometric sequence is defined by a the recursive formula t1 = 243, tn + 1 = tn 3 , where n ∈n and n ≥ 1. the general term of the sequence is

Step-by-step explanation:

Given :

Expression :

Put n = 1

Put n = 2

Put n = 3

Continuing in this manner we will get the geometric sequence :

243,729,2187,6561 ........

Formula for nth term of G.P. :

a= 243

r = common ratio between the consecutive terms .

Substituting values in the formula :

Hence the general term of the sequence is

i think the answer is b)

step-by-step explanation:

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3