Question

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

an = (√3)(5)n + 1
an = (√3)(5)n - 1
an = (5)(√3)n - 1
an = (5)(√3)n + 1

Answer 1

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

Answer 2

C.
`a_n=5\cdot (√(3))^(n-1)`

Explanation:

We have been given that first term of a geometric sequence is 5 and common ratio is
`√(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 (√(3))^(n-1)`

Therefore, option C is the correct choice.