Question

The missing number in the series 9, ____, 6561, 43046721 is:

Options:
A. 81
B. 243
C. 729
D. 2187

Answer 1

The missing number in the series is 81, which follows the pattern of 3 raised to increasing powers.

Step-by-step explanation:

The missing number in the series 9, ____, 6561, 43046721 is determined by recognizing the pattern in the series.

Each number in the series can be expressed as 3 raised to increasing exponential powers.

Therefore, 9 is 3^2, and 6561 is 3^8.

To find the missing number which should be 3^4,

we calculate 3 to the power of 4 which is 81.

Hence, the correct option is A. 81.