Balmer, a middle school teacher in Switzerland, collected spectral data from 95161225213632 We successfully found the law in, and got Balmer formula, and then opened the door to the mystery of spectrum. Please write the ninth number according to this law?

Balmer, a middle school teacher in Switzerland, collected spectral data from 95161225213632 We successfully found the law in, and got Balmer formula, and then opened the door to the mystery of spectrum. Please write the ninth number according to this law?


∵ 9 = 32, 5 = 9-4, 16 = 42, 12 = 16-4, 25 = 52, 21 = 25-4, 36 = 62, 32 = 36-4, ∵ the nth number is (n + 2) 2 (n + 2) 2 − 4, when n = 9, (n + 2) 2 (n + 2) 2 − 4 = 121121 − 4 = 121117, so the 9th number is 121117



Balmer, a Swiss middle school teacher, found the rule from spectral data 5 / 9, 12 / 16, 21 / 25, 32 / 36
Please write down the seventh and tenth scores according to the rules, which are () and ()


73 / 77, and 112 / 116



Balmer, a middle school teacher in Switzerland, successfully discovered the law from the spectral data 9 / 5, 16 / 12, 25 / 21, 36 / 32,..., thus obtained Balmer formula, and then opened the door to the mystery of the spectrum. Please write the ninth number according to this law
Another question
According to this rule, C=____ .
1 3 3 5 5 A
5 20 7 56 B C


49/45
one hundred and eight



Balmer, a middle school teacher in Switzerland, got Balmer formula from spectral data 9 / 5 and 16 / 12. Please write the ninth number according to this rule


According to the data you give, the formula of this rule should be [(n + 2) ^ 2] / [(n + 2) ^ 2-4], where n = 1,2,3... Then the ninth number can be calculated as 121 / 117