Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Geometric series is as follows:
1,3,9,................
Number of terms = 10
n = 10
a = 1
r = [tex]\dfrac{a_2}{a_1}=\dfrac{3}{1}=3[/tex]
We need to find the sum of the geometric sequence for 10 terms.
[tex]S_{10}=\dfrac{a(r^n-1}{r-1}\\\\S_{10}=\dfrac{1(3^{10}-1)}{3-1}\\\\S_{10}=\dfrac{59048}{2}\\\\S_{10}=29,524[/tex]
Hence, Option 'A' is correct.
