Identifying the Pattern in the Number Series

The question presents a number series: 11, 33, 99, 297, ?, 2673. We need to find the missing number.

Let's examine the relationship between consecutive terms:

• $33 \div 11 = 3$
• $99 \div 33 = 3$
• $297 \div 99 = 3$

The pattern observed is that each term is obtained by multiplying the previous term by 3. This is a geometric progression with a common ratio of 3.

Calculating the Missing Number

To find the missing number (represented by '?'), we multiply the term before it (297) by the common ratio (3):

Missing Number = $297 \times 3$

Missing Number = $891$

Verifying the Series

To confirm our answer, we check if multiplying the calculated missing number (891) by 3 gives the next term in the series (2673):

$891 \times 3 = 2673$

This matches the last term provided in the series, confirming that 891 is the correct missing number.

Conclusion

The missing number in the series 11, 33, 99, 297, ?, 2673 is 891.