Question

Which of the following is the explicit formula for the nth term of the sequence?

Answer 1

To find:

The explicit formula for the nth term of the sequence.

Solution:

The recursive formula of the sequence is given by:

`a_n=6a_(n-1)`

Here, a1 = 0.75. Find first few terms of the sequence,

`a_1=0.75,a_2=6(0.75)=4.5,a_3=6(4.5)=27,...`

So, the explicit formula that satisfy the given sequence is:

`a_n=0.75\cdot(6)^(n-1)`

Thus, option B is correct.