Question

What is the explicit rule for the geometric sequence? 4.05, 1.35, 0.45, 0.15, ...

an=4.05(13)n−1

an=4.05(13)n+2

an=4.05(13)n

an=4.05(13)n+1

Answer 1

an=4.05^(1/3)n−1

Explanation:

Answer 2

Answer: First option is correct.

Explanation:

Since we have given that

4.05, 1.35, 0.45, 0.15, ...

Since it is a geometric sequence.

So, here, a = 4.05

r =
`(a_2)/(a_1)=(1.35)/(4.05)=0.33`

So, we know the formula for nth term in geometric sequence.

`a_n=ar^(n-1)\\\\a_n=4.05(0.3)^(n-1)`

Hence, First option is correct.