36 25 16 9 4 361 x 289 256 225
Number Pattern Puzzle: Finding the Value of x
The given sequence consists of numbers that are perfect squares.
Let's list the sequence and their corresponding square roots:
| Number | 36 | 25 | 16 | 9 | 4 | 36 | 1 | x | 289 | 256 | 225 |
| Square Root | 6 | 5 | 4 | 3 | 2 | 6 | 1 | sqrt(x) | 17 | 16 | 15 |
Identifying the Pattern
Observe the sequence of square roots: 6, 5, 4, 3, 2, | 6, 1, sqrt(x), 17, 16, 15.
Focus on the numbers surrounding 'x' in the sequence of square roots: 1, sqrt(x), 17.
A pattern emerges where the middle term is the sum of the first and third terms:
$sqrt(x) = 1 + 17$
Calculating the Value of x
Using the identified pattern:
- $sqrt(x) = 1 + 17$
- $sqrt(x) = 18$
To find 'x', we square the result:
- $x = (sqrt(x))^2$
- $x = 18^2$
- $x = 324$
The value of x is 324.
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 table carefully and select the number from among the given options that can replace the question mark (?).
3 2 1 3 2 1 96 44 ? - 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 that can replace the question mark (?) in it.
48 64 80 24 ? 40 12 16 20 - 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 - 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 that can replace the question mark (?) in it.
4 7 7 3 5 1 4 2 2 3 ? 9 4 4 2 1 - Study the given grid carefully and select the number from the given options that can replace the question mark (?) in it.
16 16 14 128 ? 126 8 5 9 - Find the missing number.
48 24 8 55 20 11 63 ? 9
Important Questions from Missing Number in Matrix
Study the given pattern carefully and select the number from among the given options that can replace the question mark (?) in it.
24
36
32
6
3
?
12
2
24
12
54
24
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
3 5 7 23 27 31 69 135 ? Study the given matrix carefully and select the number from among the given options that can replace the question mark(?) in it.
13 6 75 15 8 ? 18 4 70 Study the given pattern carefully and select the number from among the given options that can replace the question mark (?) in it.
15 81 12 18 99 15 17 120 ? Study the given pattern carefully and select the number from among the given options that can replace the question mark (?) in it.
18 24 19 7 8 9 8 11 14 17 ? 14
