sciencegeek2017 sciencegeek2017

29-08-2016
Mathematics

Answered

Which expression can be used to find the nth term for the sequence below?

2, 5, 10, 17, ...

At=n+3
Bt=n^2+1
Ct=2n+1
Dt=3n-1

[^ means exponent]

Please explain how to get this answer bc I'm really stumped here...

Verified Answer :

Anonymous Anonymous

29-08-2016

So the general formula is:

a(n)=1+n^2

Let's check:

a(1)=1+1^2=1+1=2

a(2)=1+2^2=1+4=5

a(3)=1+3^2=1+9=10

a(4)=1+4^2=1+16=17

The next numbers in the sequence should be:

a(5)=1+5^2=1+25=26

a(6)=1+6^2=1+36=37 etc.

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