What is the explicit rule for this geometric sequence? 2/9,2/3,2,6,...

a) an=3(29)^n−1

b) an=3(29)^n

c) an=29⋅3^n−1

d) an=29⋅3n

Given:

The geometric sequence is

To find:

The explicit formula for the given geometric sequence.

Solution:

We have, a geometric sequence

Here,

First term :

Common ratio :

The explicit formula of a geometric sequence is

where, a is first term and r is common ratio.

Putting and r=3, we get

Therefore, the correct option is c.

step-by-step explanation:

abc

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: