Given:

To find:
The correct function.
Explanation:
Let us consider the function given in option D.

Differentiating with respect to x we get,

Substituting x = 2 in the function f(x), we get

Therefore, the given conditions are satisfied.
So, the function is,

Final answer: Option D
The answer is 327. Remember that when you multiply a number by ten, you move the decimal point to the right one place.
Hope that helped you.
Answer:
Number of terms: n=6
Step-by-step explanation:
We are given:
a₁ = 0.75
r = 4
Sₙ = 1023.75
We need to find number of terms i.e n
The formula used will be:
Putting values and fining n

We know that 

Using Exponent rule: 

So, Number of terms: n=6