General term for equation 1, sqrt(3), sqrt(5), sqrt(7), 3,

[jshaziza]

I am having trouble predicting the general term for the following equation:
1, sqrt(3),sqrt(5), sqrt(7), 3,....
Thx for any help.

 

[arthur ohlsten]

the general term is sqrt[2n-1], n a positive integer

the terms are
n sqrt
1....1
2....3
3....5
4....7
5....9
6....11

Arthur

 

[jshaziza]

Arthur I tried using your general term but I don't think it's right because if I plug in 1 for n and multiply it by 2 than minus 1 and sqrt that I get 0.414, when I should be getting one. Same thing goes for the rest of them. If I am confused could you please clarify it for me? thx.

 

[arthur ohlsten]

general term is sqrt[2n-1] for n a integer

1st term, n=1
sqrt[2-1]
sqrt 1

2nd term, n=2
sqrt[2[2]-1]
sqrt[4-1]
sqrt 3

3rd term, n=3
sqrt[2(3)]-1]
sqrt[6-1]
sqrt 5

first 3 terms: sqrt1,sqrt3,sqrt5
first 3 terms: 1, sqrt3, sqrt5

 

[jshaziza]

Thx. man, now I see how I was looking at it wrong. thx. for your help.

 

[arthur ohlsten]

your welcome,glad I could help.
Arthur