Select the number from among the given options that can replace the question mark (?) in the following series.
$1, 3, 9, 27, ?$
Analyzing the Number Series Pattern
The question asks us to find the number that logically follows in the given numerical sequence: $1, 3, 9, 27, ?$
To solve this, we need to identify the pattern or rule governing the series.
Identifying the Series Progression
Let's examine the relationship between consecutive terms in the series:
- The first term is 1.
- The second term is 3. The relationship between the first and second term is $1 \times 3 = 3$.
- The third term is 9. The relationship between the second and third term is $3 \times 3 = 9$.
- The fourth term is 27. The relationship between the third and fourth term is $9 \times 3 = 27$.
It is clear that each term in the series is obtained by multiplying the previous term by 3.
Calculating the Missing Number
Following the established pattern, the next number in the series should be the fourth term multiplied by 3.
The fourth term is 27.
Therefore, the missing number is calculated as:
$$ 27 \times 3 $$
Performing the multiplication:
$$ 27 \times 3 = 81 $$
Alternatively, we can see the series as powers of 3:
- $1 = 3^0$
- $3 = 3^1$
- $9 = 3^2$
- $27 = 3^3$
The next term would be $3^4$.
$$ 3^4 = 3 \times 3 \times 3 \times 3 = 81 $$
Conclusion
The number that replaces the question mark (?) in the series $1, 3, 9, 27, ?$ is 81.
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?
11, 19, ?, 49, 79, 128
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 of the following numbers will replace the question mark (?) in the given series?
66, 86, 126, ?, 366
Which of the following numbers will replace the question mark (?) in the given series?
54, 46, 34, 26, 14, ?
Which of the following numbers will replace the question mark (?) in the given number series?
25, 115, 214, 322, ?, 565, 700
Which of the following numbers will replace the question mark (?) in the given series?
73, 57, 43, 31, ?, 13
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
