Question

Indicate a general rule for the nth term of the sequence when a1 = 5 and r = √3 .

Answer 1

Answer:

C. $a_n=5\cdot (\sqrt{3})^{n-1}$

Step-by-step explanation:

We have been given that first term of a geometric sequence is 5 and common ratio is $\sqrt{3}$. We are asked to find the general rule for the nth term of the sequence.

We know that a geometric sequence is in form $a_n=a_1\cdot (r)^{n-1}$, where,

$a_n$ = nth term of the sequence,

$a_1$ = 1st term of the sequence,

r = Common ratio,

n = Number of terms in sequence.

Upon substituting our given values in general form of geometric sequence, we will get:

$a_n=5\cdot (\sqrt{3})^{n-1}$

Therefore, option C is the correct choice.

Answer 2

the right answer is an=5(3)^(n-1)/2