The first five terms of the sequence are -8, -5/8, 0, 5/64 and 16/125
Recursive form of a sequence
Given the nth term of a sequence expressed as:
an= n^2-9/ n^3
Determine the first five terms
If n = 1
a1 = 1^2-9/ 1^3
a1 = -8/1
a1 = -8
If n = 2
a2 = 2^2-9/ 2^3
a2 = -5/8
If n = 3
a3= 3^2-9/ 1^3
a3 = 9-9/3^3
a3 = 0
If n = 4
a4 = 4^2-9/ 4^3
a4= 16-9/64
a4 = 5/64
If n = 5
a5 = 5^2-9/ 1^3
a5 = 25-9/5^3
a5 = 16/125
Hence the first five terms of the sequence are -8, -5/8, 0, 5/64 and 16/125
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