140k views
1 vote
Can you please answer me

Can you please answer me-example-1

1 Answer

4 votes

Good stuff. Your schools are better than ours.

9 22 41 66 97 134

13 19 25 31 37

6 6 6 6

They didn't ask but I'll tell you anyway when the second difference is constant that means we started from a second degree function, a quadratic function. We could figure it out, but they're saving that for the next part.

In the quadratic case, the coefficient of n² is half the second difference. So I'm writing a 3 in there.

I'll add an extra line for n to keep track; that's not part of the answer.

9 22 41 66 97 134

n 1 2 3 4 5 6

3 3 12 27 48 75 108

subtr 6 10 14 18 22 26

Our difference follows the formula 4n+2 so our nth term of our original function is

Answer: 3n² + 4n + 2

Let's check a couple

f(n) = 3n² + 4n + 2

f(1) = 3+4+2=9, good

f(6) = 3(6²) + 4(6) + 2 = 108 + 24 + 2 = 134, good

User IBr
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories