What are the first four terms in the sequence #a_n = (2n+1)/(n^3)#?

1 Answer
May 9, 2016

Start with n = 1, then n = 2 and so on.. #'n'# is the number or position of a term in a sequence.
#3, 5/8, 7/27, 9/49#

Explanation:

When #n = 1 " " a_1 = (2(1) + 1)/1^3 = 3#

When #n = 2 " " a_2 = (2(2) + 1)/2^3 = 5/8#

When #n = 3 " " a_3 = (2(3) + 1)/3^3 = 7/27#

When #n = 4 " " a_4 = (2(4) + 1)/4^3 = 9/64#