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A sequence starts: 1, 4, 9, 16 … The nth term is n^2 Use this fact to find the nth term of the following sequences:

Question

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## Answers ( )

Answer:see explanation

Step-by-step explanation:Given the sequence

1, 4, 9, 16, ….

has n th term

[tex]a_{n}[/tex] = n²

(a)

Given the sequence 2, 5, 10, 17, ……

Note the terms are 1 more than the previous given sequence, thus

[tex]a_{n}[/tex] = n² + 1

(b)

Given 2, 8, 18, 32, ……

Note the terms are twice the original given sequence, thus

[tex]a_{n}[/tex] = 2n²