Question

find the pattern and use it to list the nth term in the sequence. 1, 1/32,1/243,1/1024,1/3125

Answer 1

1,    1/32,        1/243,        1/1024,        1/3125



1 = 1/1⁵


1/32 = 1/2⁵


1/243 = 1/3⁵


1/1024 = 1/4⁵


1/3125 = 1/5⁵

the sixth would be:

1/6⁵  = 1/ 7776

The nth term =  1/n⁵