algebra 2/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
2) 3,8,15, 24,.....35
the nth is
Can you help me and correct ? thank

1)
a (n ) = n ^ 3
1 ^ 3 = 1
2 ^ 3 = 8
3 ^ 3 = 27
4 ^ 3 = 64
5 ^ 3 = 125
6 ^ 3 = 216
2 )
a (n ) = n ^ 2 + 2 n
1 ^ 2 + 2 * 1 = 1 + 2 = 3
2 ^ 2 + 2 * 2 = 4 + 4 = 8
3 ^ 2 + 2 * 3 = 9 + 6 = 15
4 ^ 2 + 2 * 4 = 16 + 8 = 24
5 ^ 2 + 2 * 5 = 25 + 10 = 35
6 ^ 2 + 2 * 6 = 36 + 12 = 48