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In Mathematics / High School | 2014-05-21

Use inductive reasoning to find the next term in the sequence:

0, 1, 1, 2, 3, 5, 8 ...

Asked by devilslittleAngel

Answer (3)

0 , 1 , 1 , 2 , 3 , 5 , 8 , ... ( F ib o na cc i se q u e n ce ) a 1 ​ = 0 , a 2 ​ = 1 a n ​ = a n − 1 ​ + a n − 2 ​ ⇒ a 8 ​ = a 7 ​ + a 6 ​ = 7 + 5 = 13

Answered by kate200468 | 2024-06-10

the next three terms are 13,21,34

Answered by sammy842056 | 2024-06-10

The next term in the Fibonacci sequence 0, 1, 1, 2, 3, 5, 8 is 13, which is found by summing the last two terms, 5 and 8. This is because each number in the Fibonacci sequence is the sum of the two preceding numbers.
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Answered by kate200468 | 2024-09-30