The average (arithmetic mean) of 3³⁰, 3⁶⁰ and 3⁹⁰ is :

A. $${3^{27}} + {3^{57}} + {3^{87}}$$

B. $${3^{29}} + {3^{59}} + {3^{89}}$$

C. $${3^{60}}$$

D. $${3^{177}}$$

Answer: Option B

Solution(By Examveda Team)

According to the question,
$$\eqalign{ & \Rightarrow \frac{{{3^{30}} + {3^{60}} + {3^{90}}}}{3} \cr & \Rightarrow {3^{29}} + {3^{59}} + {3^{89}} \cr} $$