規律問題!!!

2007-10-17 2:04 am
first term
↓ fifth term
↓ ↓
e.g. 1、4、9、16、25......first term is 1x1=1 、second term is 2x2=4、general term is n二次方
e.g. 2、4、6、8、10......first term is 2X1=2、second term is 2X2=4、general term is 2n

幫我計!!

1、3、5、7、9...... general term is ?????

2、5、10、17、26...... general term is ???

1、3、6、10、15...... general term is?????

回答 (2)

2007-10-17 2:19 am
✔ 最佳答案
1.Difference=2

First term=1

General term =1+2(n-1)

2n-1

2. Difference=5-2=3

First term=2

General term=2+3(n-1)

3n-1

3. The numbers (1,3,6..) are triangular numbers

General term: obviously n(n+1)/2
2007-10-18 4:49 am
1、3、5、7、9...... general term is 單數
2、5、10、17、26...... general term is +3, +5, +7...
1、3、6、10、15...... general term is +2, +3, +4...
參考: me


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