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Question
Look for the pattern and take this forward.
(0 × 9) + 1 = 1
(1 × 9) + 2 = 11
(12 × 9) + 3 = 111
(123 × 9) + 4 = ______
(1234 × 9) + 5 = ______
(12345 × 9) + 6 = ______
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Solution
(0 × 9) + 1 = 1
(1 × 9) + 2 = 11
(12 × 9) + 3 = 111
(123 × 9) + 4 = 1111
(1234 × 9) + 5 = 11111
(12345 × 9) + 6 = 111111
The number of 1 increases at every step in this pattern.
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Going round and round!
| 142857 | 142857 | 142857 | 142857 | 142857 |
| x 1 | x 2 | x 3 | x 4 | x 5 |
| ________ | _______ | _______ | _______ | _______ |
Do you find a pattern in all these answers? Discuss this with your friends.
