algebra2/trig
posted by JOSEPH on .
Write the next term of sequence,and then write the rule for the nth term.
1)1,8,27,64,....125
the nth is n
2) 3,8,15, 24,.....35
the nth is
Can you help me and correct ? thank you

1) looks like you are dealing with the cubes
so term(n) = n^3
2) did you notice that each term is one less than a perfect square?
e.g.
3 = 2^2  1 term(1)
8 = 3^2 1  term(2)
15 = 4^2 1
24 = 5^2  1
35 = 6^2  1
so term(n) = (n+1)^2 1