27, 54, 162, 648, ?
Number Series Pattern Analysis
The problem asks us to find the missing number in the sequence: 27, 54, 162, 648, ?. We need to identify the pattern used to generate this series.
Series Progression Breakdown
Let's examine the relationship between consecutive numbers in the series:
- The first term is 27.
- The second term is 54. The relationship between 27 and 54 is: $54 = 27 \\times 2$
- The third term is 162. The relationship between 54 and 162 is: $162 = 54 \\times 3$
- The fourth term is 648. The relationship between 162 and 648 is: $648 = 162 \\times 4$
Identifying the Multiplication Pattern
By analyzing the steps above, we can see a clear pattern:
- Each number is obtained by multiplying the previous number by an increasing integer.
- The multipliers used are 2, 3, and 4.
Following this pattern, the next multiplier should be 5.
Calculating the Missing Term
To find the missing number (represented by '?'), we multiply the last term of the series (648) by the next multiplier (5):
Calculation: $648 \\times 5$
Performing the multiplication:
$648 \\times 5 = 3240$
Final Answer
Thus, the number that should replace the question mark in the series is 3240.
Similar Questions
Which of the following numbers will replace the question mark (?) in the given series?
6, 8, 11, 16, ?, 34, 47, 64
Which number will replace the question mark (?) in the following series?
36, 512, 100, 1728, ?, 4096
Which number will replace the question mark (?) in the following series?
11, 19, ?, 49, 79, 128
Which of the following numbers will replace the question mark (?) in the given series?
16, 18, 24, 36, ?, 86
Which of the following numbers will replace the question mark (?) in the given series?
304, 261, 221, 184, ?, 119
Select the option that represents the letters which when sequentially placed from left to right in the blanks below will complete the letter series.
P _ I _ Y _ O _ U Y P _ K U _ P O _ _ Y
Which of the following numbers will replace the question mark (?) in the given series?
98, 97, 101, 92, ?
Which of the following numbers will replace the question mark (?) in the given series?
8, 15, 25, 38, ?, 73
Which of the following numbers will replace the question mark (?) in the given series?
7, 7, 5, 15, 11, 55, 49, 343, ?
Which number will replace the question mark (?) in the following series?
11, 30, 68, 144, 296, ?
Important Questions from Number Series
What will come in place of question mark (?) in the following number series?
2, 5, 11, 23, 44, 77, ?
What will come in place of question mark (?) in the following number series?
31, 32, 36, ?, 61, 86
What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930
What should come in place of the question mark ‘?’ in the following number series?
60, 40, 50, ?, 180, 460
A series is given with one term wrong. Select that wrong term from the given alternatives.
J12, M24, P48, S96, U192
