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

Answer: First option is correct.

Step-by-step 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 = $\dfrac{a_2}{a_1}=\dfrac{1.35}{4.05}=0.33$

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.

Answer 2

Answer:

an=4.05^(1/3)n−1

Step-by-step explanation: