SOLUTION: Write the general terms of the following sequence: 𝑌=(0,9,26,65,.........)

The numbers in the sequence 

0,9,26,65

are close to the numbers in the sequence of cubes:

1,8,27,64, which is

1³,2³,3³,4³

 0 =  1-1 = 1³-1   <-- 1st term
 9 =  8+1 = 2³+1   <-- 2nd term
26 = 27-1 = 3³-1   <-- 3rd term
65 = 64+1 = 4³+1   <-- 4th term

So the nth term will begin with n³
If n is even we will add 1
If n is odd we will add -1
So regardless, we add (-1)n

The general term is



Edwin