Step-by-step explanation:
The sigma symbol (∑) represents summation. (i) is the index (or variable) that runs from (a) to (b).
(f(i)) represents the expression we’re summing over.
For example, consider the sum:
[ \sum_{n=1}^{3} (2n - 1) ]
We start with (n = 1): [ 2(1) - 1 = 1 ]
Next, for (n = 2): [ 2(2) - 1 = 3 ]
Finally, for (n = 3): [ 2(3) - 1 = 5 ]
Adding these terms together: [ 1 + 3 + 5 = 9 ]
So, the sum is 9. The index here is (n), and we substitute different values for (n) into the expression (2n - 1).
with all of that out of the way, we can handle your problem.
A) (\sum_{i=0}^{3} (i^2 + 2i + 4)) B) (\sum_{i=0}^{3} (3i + 2)^2) C) None of the above
The correct answer is C) None of the above. The given sum doesn’t match either of the provided expressions. We evaluate it directly:
[ 4 + 25 + 64 + 121 = 214 ] that's your answer, and remember,
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