Find the rule for the following algebra table:?

Question

Find the rule for the following algebra table:?
x | 1 | 2 | 3 | 4 |
y | 5 |12|22|35|

y=?

it has to work for all numbers

Answer 1

This took me a while but I enjoyed the challenge!

y=(3x^2 +5x+2)/2

Answer 2

see this....

12 - 5 = 7
10-7=3
22-12= 10
13-10=3
35-22= 13

and so on..
us ethis relation to solve ur problem....

If u do need a relationship;

here's the relationship:

y= [x*(x-1)/2]+x^2

using this u could get values for any number...

let us see it..

suppose x runs till 5;

then x=5;

y=[{5*(5-1)}/2]+5^2

y=[{5*4}/2]+5^2

y=10+25

y = 35 (corresponding value of 4)

similarly for x=6, u get the corresponding value of x=5;

y=51