Question

Which term in sequence √3, 3, 3√3,...... is 729

Answer 1

Answer:

Hello !

First term (a) = √3

Common ratio (r) = 3 / √3 = √3

Let nth term = 729

= a * r^n-1 = 729

= (√3) * (√3)^n-1 = 3^6

= (√3)n = (√3)^12

= n = 12

Answer 2

First term(a)=√3

common ratio(r)=3 / √3=√3

Let nth term = 729

=a * r^n-1 =729

=(√3) * (√3)^n-1 = 3^6

=(√3)n = (√3)^12

n=12