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kotykmax [81]
3 years ago
9

How do you find the nth to the quadratic sequence of 3,8,15,24,35

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

Having the first term of the sequence 

<span>a<span>(0)</span>=3</span>

<span>a<span>(1)</span>=3+5=8</span> 

We realized that 

<span>a<span>(1)</span>=a<span>(0)</span>+2⋅2+1</span>

We also have :

<span>a<span>(2)</span>=a<span>(1)</span>+2⋅3+1=8+7=15</span> 

<span>a<span>(3)</span>=a<span>(2)</span>+2⋅4+1=15+9=24</span>

From above we can realize that each term is the sum of the previous

term and 2*(sequence coefficient added to 1) and 1

So the nth term will be:

<span>a<span>(n)</span>=a<span>(n−1)</span>+2⋅<span>(n+1)</span>+<span>1
</span></span>

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