Geometric Sequence

3¹ =3

3² = 9

3³ = 27

3⁴ = 81

3⁵ = 243

3⁶ = 729

3⁷ = 2187

3⁸ = 6561

3⁹ = 19683

3¹⁰ = 59049

         88572

\({s}_{n} = \frac{q^n-1}{q-1}*{a}_{1}\)

q=3   n=10

The common ratio  is given by :

243 / 27  =  r^2

9  =  r^2    →   3  = r

And the first term  is

27 / 3^2  =   27/9 = 3

And the sum ofr the first 10  terms  is given by :

first term  [ 1 - common ratio^10] / [1 - common ratio ]  =

3 [ 1 - 3^10] / [ 1 - 3 ]  = 88572