Find the first ten terms of the sequence defined recursively by a 1 = a 2 = 1 , a n = a n − 1 + a n − a n − 1 . In 1989, a prizes of $1000 was offered to whoever first discovered (for the sequence) a value of n for which | a i i | − | 1 2 | < 1 20 for all i>n. A mathematician named Colin L Mallows of AT&T Bell Laboratories found that n = 1489 and claimed the prize.
Find the first ten terms of the sequence defined recursively by a 1 = a 2 = 1 , a n = a n − 1 + a n − a n − 1 . In 1989, a prizes of $1000 was offered to whoever first discovered (for the sequence) a value of n for which | a i i | − | 1 2 | < 1 20 for all i>n. A mathematician named Colin L Mallows of AT&T Bell Laboratories found that n = 1489 and claimed the prize.
Solution Summary: The author explains that the first ten terms of the sequence are ca_1=1;
Find the first ten terms of the sequence defined recursively by
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1
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2
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1
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n
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n
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1
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. In 1989, a prizes of $1000 was offered to whoever first discovered (for the sequence) a value of n for which
|
a
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i
|
−
|
1
2
|
<
1
20
for all i>n. A mathematician named Colin L Mallows of AT&T Bell Laboratories found that n = 1489 and claimed the prize.
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