48 24 8 55 20 11 63 ? 9
Sequence Analysis
We are given the sequence: 48, 24, 8, 5, 5, 20, 11, 6, 3, ?, 9. The goal is to determine the missing number.
Step-by-Step Pattern Derivation
Let's examine the operations connecting consecutive terms to establish the pattern:
- $48 \div 2 = 24$
- $24 \div 3 = 8$
- $8 - 3 = 5$
- $5 \times 1 = 5$
- $5 \times 4 = 20$
- $20 - 9 = 11$
- $11 - 5 = 6$
- $6 \div 2 = 3$
These operations generate the sequence up to the 9th term, which is 3.
Finding the Missing Term (T10)
Let the terms of the sequence be denoted by $T_n$, where $n$ is the position. We need to find $T_{10}$. The sequence provided is $T_1, T_2, ..., T_9, T_{10}, T_{11}$. We know:
- The 5th term, $T_5 = 5$.
- The 9th term, $T_9 = 3$.
- The 11th term, $T_{11} = 9$.
A pattern relating the 10th term ($T_{10}$) to previous terms is observed:
$T_{10} = T_9 + (T_5)^2$
Substitute the known values into this formula:
- $T_{10} = 3 + (5)^2$
- $T_{10} = 3 + 25$
- $T_{10} = 28$
Therefore, the missing number in the sequence is 28.
Similar Questions
Study the given pattern carefully and select the number from among the given options that can replace the question mark (?) in it.
- Study the given grid carefully and select the option from among the given options that can replace the question mark (?).
$B_{3}$ $E_{4}$ $H_{7}$ $K_{8}$ $N_{9}$ ? $T_{11}$ $W_{13}$ $Z_{24}$ - Study the given pattern carefully and select the number from among the given options that can replace the question mark (?).
4 7 13 5 7 13 6 9 ? - Study the given pattern carefully and select the number that can replace the question mark (?) in it.
3 ? 4 7 121 8 6 9 5 Study the given pattern carefully and select the number from among the given options that can replace the question mark (?).
Study the given pattern carefully and select the letter from among the given options that can replace the question mark (?).
- Study the given pattern carefully and select the number that can replace the question mark (?) in it.
48 64 80 24 ? 40 12 16 20 Study the given pattern carefully and select the number that can replace the question mark (?) in it.
- Select the number from among the given options that can replace the question mark (?) in the given table.
5 8 15 6 11 ? 35 96 210 - Find the missing number.
4 5 6 5 4 4 6 4 5 14 16 ?
Important Questions from Missing Number in Matrix
Select the missing number from the given responses:
1
216
343
8
125
512
27
64
?
35
401
1575
Following is a matrix of certain entries. The entries follow a certain trend row-wise. Choose the missing entry (?) accordingly.
7B 10A 3C 3C 9B 6A 10A 13C ? Study the given pattern carefully and select the number that can replace the question mark (?) in it.
116 160 ? 3 8 13 7 4 2 Find the missing number from the given responses in the following question.
9 6 8 5 8 4 7 4 ? 11 2 7 In the following question, from the given alternatives, select the number that comes in place of the question mark (?).
16
8
13
17
12
23
21
15
19
162
105
?
