SOLUTION: I can't seem to figure out the general term of this sequence. Could you help me out? The sequence is : 1, square root of 3, square root of 5, square root of 7, and square root of

Question 91400This question is from textbook
: I can't seem to figure out the general term of this sequence. Could you help me out?
The sequence is : 1, square root of 3, square root of 5, square root of 7, and square root of 9.
I can tell that each time, you add two to the number, but I don't know how you would say that when using the (n)th term.
I would be very grateful if someone could help me. This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We basically have the sequence:

, , , , and ...

since

So if we just look at the numbers inside the root and ignore the root for now we get the sequence

1,3,5,7,9....

Since the distance from term to term is d=2 and the starting term is a=1, we get the sequence

where we start at n=0

Now just place that sequence in a square root like this

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