Altering sign sequence

Find the nth term of the sequence -1/2, 1/4, - 1/6, 1/8, - 1/10, ....

Correct answer:

a_n = (-1)^n/(2n)

Step-by-step explanation:

a1=1/2=21=0.5 a2=1/4=41=0.25 a3=1/6=610.1667 a4=1/8=81=0.125 a5=1/10=101=0.1  sgn ++  an=2n(1)n   Verifying Solution:  A1=2 1(1)1=21=0.5 A2=2 2(1)2=41=0.25 A3=2 3(1)3=610.1667 A4=2 4(1)4=81=0.125 A5=2 5(1)5=101=0.1 A6=2 6(1)6=1210.0833 A7=2 7(1)7=1410.0714  an=(1)n/(2n)

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