1, -2, 4, -8,16
1st term = 1 = 20
2nd term = 2 = 21
3rd term = 4 = 22
4th term = 8 = 23
5th term = 16 = 24
Notice that the exponent of 2 is 1 less than
the number of term.
nth term = 2n-1 ignoring sign.
But then you need the sign-changer factor (-1)n-1.
nth term = (-1)n-12n-1
an = (-1)n-12n-1
Edwin