9 1 , 2 5 1 , 4 3 1 , 6 3 1 , 6 5 1 , 8 5 1 …
Find the 22nd term of the sequence above.
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9 1 can be expressed as 1 4 n − 5 1
2 5 1 can be expressed as 1 5 n − 5 1
4 3 1 can be expressed as 1 6 n − 5 1
6 3 1 can be expressed as 1 7 n − 5 1
6 5 1 can be expressed as 1 4 n − 5 1
8 5 1 can be expressed as 1 5 n − 5 1
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2 2 ≡ 4 ( m o d 2 ) and we have 1 4 n − 5 1 , 1 5 n − 5 1 , 1 6 n − 5 1 , 1 7 n − 5 1 …
Then 2 2 n d expressed as 1 5 n − 5 1 .
2 2 × 1 5 − 5 1 ⟹ 3 3 0 − 5 1 = 3 2 5 1