Question

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

1. an = (√3)(2)n+1

2. an = (√3)(2)n-1

3. an = (2)(√3)n-1

4. an = (2)(√3)n+1

Answer 1

`\bf n^(th)\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^(n-1)\qquad \begin{cases} n=n^(th)\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ a_1=√(3)\\ r=2 \end{cases} \\\\\\ a_n=√(3)(2)^(n-1)`