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Can someone please answer c. I’ve been trying for 30 mins and can’t understand it

Can someone please answer c. I’ve been trying for 30 mins and can’t understand it-example-1

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Answer: 7

Explanation:

For c, we are given this sum from 1 to 3 of
(n^2)/(2). 1/2 is a constant , therefore, we can move it outside of the summation.

*I hope you can understand what I'm saying. I can't figure out how to type in summations into the equations section.

1/2∑₁³n²

This means you would multiply the sum of n² from 1 to 3 by 1/2.

We are told n=1 to n=3 so we would plug 1, 2, 3 into n.

1²=1

2²=4

3²=9

We would add them together since that is what the sum sign tells us to do.

1+4+9=14

Now that we know the sum, we multiply it with 1/2

14/2=7

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