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Question
Find next three numbers in the following number pattern.
10, 20, 40, 80, ...
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Solution
The pattern generating these numbers is
10, 10 + 10, 20 + 20, 40 + 40, 80 + 80, 160 + 160, 320 + 320, ....
10, 20, 40, 80, 160, 320, 640, ....
∴ The next three numbers will be 160, 320, 640.
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RELATED QUESTIONS
Study and complete the following pattern
1 × 1 = 1
11 × 11 = 121
111 × 111 = 12321
1111 × 1111 = ?
11111 × 11111 = ?
Find next three numbers in the following number pattern.
50, 51, 53, 56, 60, …
Find next three numbers in the following number pattern.
77, 69, 61, 53, ...
Find next three numbers in the following number pattern.
`21/33, 321/444, 4321/5555,` ...
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.
The difference between 6th term and 5th term in the Fibonacci sequence is
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`
Observe the geometrical pattern and answer the following questions
i) Write down the number of sticks used in each of the iterative pattern.
ii) Draw the next figure in the pattern also find the total number sticks used in it
