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प्रश्न
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) | ? | ? |
उत्तर
| Steps | Pattern 1 | Pattern 2 |
| i) | 1 + 3 = 4 | 5 − 1 = 4 |
| ii) | 1 + 3 + 8 = 12 | 13 − 1 = 12 |
| iii) | 1 + 3 + 8 + 21 = 33 | 34 − 1 = 33 |
| iv) | 1 + 3 + 8 + 21 + 55 = 88 | 89 − 1 = 88 |
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