It is asking you to find the sum of k^2 - 1 from k=1 to k=4. Since that is only 4 numbers, calculating the sum by hand wouldn’t be that bad.
(1^2 - 1) + (2^2 - 1) + (3^2 - 1) + (4^2 - 1) = 26
The easier way to find the sum is to use a few simple formulas.
When we have a term that is just a constant c, the formula is c*n.
When we have a variable k, the formula is k*n*(n+1)/2.
When we have a squared variable, the formula is k*n*(n+1)*(2n+1)/6.
In this case, we have a squared variable k^2 and a constant of -1.
So plug in n=4 to the formulas:
4*5*9/6 - 1*4 = 26
The answer is 26
Answer:
1 and 3, 2 and 4.
Step-by-step explanation:
1. -1.66666666667
2. 1
3. -1.66666666667
4. -1
Answer:
1) 8x
2) 12x - 3y
Step-by-step explanation:
1) Both of them have a like term, so you can subtract them across
2) 10x + 2x = 12x, have a like term so you can add them across and 3y is the outlier so that stays alone.
Hope this helps!
The answer is 1/3 because of rise over run
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❖ The volume of the container is 52 units.
4*4*4 = 64
64 - 8 = 52
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