Question

What is the explicit rule for this geometric sequence?

29,23,2,6,...




an=29⋅3n


an=3(29)n−1


an=3(29)n


an=29⋅3n−1

Answer 1

None of the four options are discarded.

Step-by-step explanation:

We have been given a sequence 29,23,2,6......

Which is neither an arithmetic progression nor a geometric progression.

So, we can not get the explicit formula for such sequences since, there is no pattern followed.

Hence, All four options are discarded.

Answer 2

What is the explicit rule for this geometric sequence?

29,23,2,6,...

For n=0 we have
an=29⋅3n=0≠29
an=3(29)n−1= -1≠29
an=3(29)n=0≠29
an=29⋅3n−1=-1≠29

And
For n=1 we have
an=29⋅3n=78≠29
an=3(29)n−1=77≠29
an=3(29)n=78≠29
an=29⋅3n−1=-77≠29

All four formulas are non-correct