Firstly look at the options carefully and we will get to know that two answer options are incorrect because 2 of them are representing AT MOST SIGN which we don't need. So in that way Options B and D are eliminated.
So Now we are left with 2 options A and C. Lets figure it out.
We know that Carlos has 5 complete set with 4 individual figures and josh has 3 complete sets with 14 individual figures.
So lets write in the numerical language:-
let us assume that complete sets are X.
ATQ,
5x + 4 ≥ 3x + 14
subtracting 3x from both sides.
5x -3x + 4 ≥ 14
2x + 4 ≥ 14
subtracting 4 from both sides
2x ≥ 14 - 4
2x ≥ 10
dividing both sides by 2
x ≥ 5 Answer
So correct answer option is C
Answer: 
Step-by-step explanation:
You know that the formula to find the sum of a finite geometric series is:
Where 
is the number of terms, 
is the first term and 
is the common ratio (
).
The steps to find the sum of the first 12 terms of the given geometric serie, are:
1. Find the common ratio "r". By definition:
Then:
2. Finally, knowing that:
You must substitute values into the formula.
Then you get:
