SOLUTION: what is rule for the nth term for -2+4-8+16-32. 1,2,3,4,5 is i Example: 5+11+17+23+29 i6-1 (1*6)-1=5 (2*6)-1=11 (3*6)-1=17

Algebra ->  Sequences-and-series -> SOLUTION: what is rule for the nth term for -2+4-8+16-32. 1,2,3,4,5 is i Example: 5+11+17+23+29 i6-1 (1*6)-1=5 (2*6)-1=11 (3*6)-1=17      Log On


   



Question 871373: what is rule for the nth term for -2+4-8+16-32.
1,2,3,4,5 is i
Example:
5+11+17+23+29
i6-1
(1*6)-1=5
(2*6)-1=11
(3*6)-1=17

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
-2+4-8+16-32

Those are the powers of 2 with alternating signs,

So they are the powers of (-2).  So, like your example:

 1,2,3,4,5 is i

-2+4-8+16-32

(-2)1 =  -2
(-2)2 =   4
(-2)3 =  -8
(-2)4 =  16
(-2)5 = -32

Rule for the nth term is 

nth term = (-2)n

Edwin