SOLUTION: QUESTIONS : write down the nth term of each sequences as suggested by the pattern of the sequence. 1, 1/2, 3, 1/4, 5, 1/6, 7, 1/8... please help me to find the solution.

Question 924383: QUESTIONS : write down the nth term of each sequences as suggested by the pattern of the sequence. 1, 1/2, 3, 1/4, 5, 1/6, 7, 1/8...
please help me to find the solution.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
it looks like every odd term is being raised by 2 every time.
you get 1, 3, 5, 7, ..... which would indicate that the next odd term is 9 and the next odd term after that is 11, etc.

it looks like every even term is being raised by 2 in the denominator.
you get 1/2, 1/4, 1/6, 1/8, ... which would indicate that the next even term is 1/10 and the next even term after that is 1/12.

if n is odd, then the formula appears to be An = n

if n is even, then the formula appears to be An = 1/n

n = 1, An = 1
n = 2, An = 1/2
n = 3, An = 3
n = 4, An = 1/4
n = 5, An = 5
n = 6, An = 1/6
n = 7, An = 7
n = 8, An = 1/8
n = 9, An = 9
n = 10, An = 1/10
n = 11, An = 11
n = 12, An = 1/12
etc.

it's not clear if these 2 formulas can be combined into one universal formula for every n.

at least i haven't been able to do so.

with these 2 formulas, you should be able to find An for any n in this sequence.
when n is odd, An = n
when n is even, An = 1/n

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