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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: a) 2, 5, 10, 17 b) 2, 8, 28, 32

A sequence starts 1 4 9 16 The nth term is n2 Use this fact to find the nth term of the following sequences a 2 5 10 17 b 2 8 28 32 class=

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Answer:

n²+1

2n²

Step-by-step explanation:

We can see that 2, 5, 10, and 17 becomes 1, 4, 9, and 16 when we subtract 1.

So it adds 1. The nth will be n² + 1.

2, 8, 18, and 32 is the double of n². 1, 4, 9, and 16 are their half.

So the nth term becomes 2n².

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