Question

Indicate a general rule for the nth term of the sequence when a1 = √3 and r = 2.

Answer 1

The first term, a is √3 and the common ratio r is 2 and the general form of a geometric sequence is:

a(n)=a*r^(n-1)  so:

a(n)=√3*2^(n-1)

Answer 2

Answer:

$a_n = \sqrt{3} \cdot (2)^{n-1}$

Step-by-step explanation:

The nth term for the geometric sequence is given by:

$a_n = a_1 \cdot r^{n-1}$            ....[1]

where

$a_1$ is the first term

r is the common ratio term.

As per the statement:

A  sequence when $a_1$= √3 and r = 2

then substitute these in [1] we have;

$a_n = \sqrt{3} \cdot (2)^{n-1}$

Therefore,  a general rule for the nth term of the sequence is, $a_n = \sqrt{3} \cdot (2)^{n-1}$