Question

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

Answer 1

Answer:

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

Step-by-step explanation:

The n-th term of a geometric sequence $a_n = a_1r^{n-1}$, where $a_n$ is the n-th term, $a_1$ is the first term, n is the number of terms.

Given:

$a_1 = 5 ; r = \sqrt{3}$

Now plug in the given values in the n-th term formula, we get

Therefore, the general rule for n-th term of the sequence is $a_n = 5*\sqrt{3} ^{n-1}$

Answer 2

For a geometric sequence with first term a_1 = 5 and common ratio r = sqrt(3), the general formula for the nth term is:
a_n = (a_1)(r)^(n - 1)
In this case,
a_n = 5(sqrt3)^(n - 1)