Common difference r will be the difference between next two values of number row, so we take e.g. second minus first: r=9.4-6=3.4. You can see, that this value is constant as we go through next pairs of values.
I'm assuming the given function is f(x) = 15x^2 + 10x.
If so, then,
f(x) = 15x^2 + 10x
f(x) = 15*(x)^2 + 10*(x)
f(-1) = 15*(-1)^2 + 10*(-1) ... note how x is replaced with -1
f(-1) = 15*(1) + 10*(-1)
f(-1) = 15 - 10
f(-1) = 5
Therefore the answer is 5
Option D, 5^9 is the correct answer
ANSWER
The correct answer is D.

EXPLANATION
The given expression is

The symbol means summation.
So we need to substitute

into the formula and add all to get,

We simplify to obtain,

The correct answer is D
Since 216 is the cube of 6, 64 is the cube of 4 and x^3 is the cube of x, we have

so the expression is the sum of the cubes of 6x and 4