Asked by G
Determine a recursive formula for the sequence: 2, 5, 10, 17,......
Answers
Answered by
Bosnian
an = n ^ 2 + 1
n = 1
a1 = 1 ^ 2 + 1 = 1 + 1 = 2
n = 2
a2 = 2 ^ 2 + 1 = 4 + 1 = 5
n = 3
a3 = 3 ^ 2 + 1 = 9 + 1 = 10
n = 4
a4 = 4 ^ 2 + 1 = 16 + 1 = 17
n = 1
a1 = 1 ^ 2 + 1 = 1 + 1 = 2
n = 2
a2 = 2 ^ 2 + 1 = 4 + 1 = 5
n = 3
a3 = 3 ^ 2 + 1 = 9 + 1 = 10
n = 4
a4 = 4 ^ 2 + 1 = 16 + 1 = 17
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