Arithmetic sequence

2007-03-17 8:45 am
Find the general term of the sequence 1+3 ,1+3+5 , 1+3+5+7 ,...

回答 (2)

2007-03-18 12:13 am
✔ 最佳答案
Arithmetic sequence
Find the general term of the sequence 1+3 ,1+3+5 , 1+3+5+7 ,...
T(1) = 1 + 3 = 4 = 2^2
T(2) = 1 + 3 + 5 = 9 = 3^2
T(3) = 1 + 3 + 5 + 7 = 16 = 4^2
SO,
T(n) = (n + 1)^2
the general term is (n + 1)^2
參考: EM
2007-03-17 8:52 am
Since {1+3 ,1+3+5 , 1+3+5+7 ,...} = {4 ,9 ,16 ,...},
general term= (n+1)^2.


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