Answer:
Step-by-step explanation:
It is given that the term is quadratic
Let us assume term as an²+bn+c
When n = 1
a + b + c = 8 --------------------------eqn 1
When n= 2
4a + 2b + c = 16 --------------------------eqn 2
When n= 3
9a + 3b + c = 26 --------------------------eqn 3
eqn 1 x 4
4a + 4b + 4c = 32 --------------------------eqn 4
eqn 4 - eqn 2
2b + 3c = 32 - 16
2b + 3c = 16 --------------------------eqn 5
eqn 1 x 9
9a + 9b + 9c = 72 --------------------------eqn 6
eqn 6 - eqn 3
6b + 8c = 72 - 26
3b + 4c = 23 --------------------------eqn 7
eqn 5 x 3
6b + 9 c = 48 --------------------------eqn 8
eqn 7 x 2
6b + 8c = 46 --------------------------eqn 9
eqn 8 - eqn 9
c = 48 - 46 = 2
Substituting in eqn 5
2 b + 3 x 2 = 16
b = 5
Substituting in eqn 1
a + 5 + 2 = 8
a = 1
So