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प्रश्न
Study and complete the following pattern
1 × 1 = 1
11 × 11 = 121
111 × 111 = 12321
1111 × 1111 = ?
11111 × 11111 = ?
उत्तर
1 × 1 = 1
11 × 11 = 121
111 × 111 = 12321
1111 × 1111 = 1234321
11111 × 11111 = 123454321
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संबंधित प्रश्न
Find next three numbers in the following number pattern.
50, 51, 53, 56, 60, …
Find next three numbers in the following number pattern.
10, 20, 40, 80, ...
Consider the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, … Observe and complete the following table by understanding the number pattern followed. After filling the table discuss the pattern followed in addition and subtraction of the numbers of the sequence.
| Steps | Pattern 1 | Pattern 2 |
| i) | 1 + 3 = 4 | 5 − 1 = 4 |
| ii) | 1 + 3 + 8 = ___________ | ? |
| iii) | 1 + 3 + 8 + 21 = ____________ | ? |
| iv) | ? | ? |
Complete the following pattern.
Complete the following pattern.
The 11th term in the Lucas sequence 1, 3, 4, 7, ... is
Complete the following pattern
1 + 2 + 3 + 4 = 10
2 + 3 + 4 + 5 = 14
`square` + 4 + 5 + 6 = `square`
4 + 5 + 6 + `square` = `square`
Complete the following pattern
20, 19, 17, `square`, 10, 5
Complete the table by using the following instructions.
A: It is the 6th term in the Fibonacci sequence.
B: The predecessor of 2.
C: LCM of 2 and 3.
D: HCF of 6 and 20
E: The reciprocal of 1/5.
F: The opposite number of –7.
G: The first composite number.
H: Area of a square of side 3 cm.
I: The number of lines of symmetry of an equilateral triangle.
After completing the table, what do you observe? Discuss.
| A | B | C |
| D | E | F |
| G | H | I |
Replace the letter by symbols as + for A, – for B, × for C and ÷ for D. Find the answer for the pattern 4B3C5A30D2 by doing the given operations
