Question

Which of the following sums does not equal the others?

the sum from i equals 1 to 3 of i squared
the sum from i equals 1 to 2 of i cubed
the sum from i equals 1 to 4 of the quantity i plus 1
the sum from i equals 4 to 5 of the quantity 2 times i minus 2

Answer 1

Sum of Option 2 does not equal to others

Step-by-step explanation:

We have to find each sum to check which is a outlier.

so,

Option 1:

∑i^2 where i = 1 to  3

$Sum = 1^2+2^2+3^2\\=1+4+9\\=14$

Option 2:

∑i^3 where i = 1 to 2

So,

$Sum = 1^3+2^3\\= 1 +8\\=9$

Option 3:

∑(i+1) where i = 1 to 4

$Sum = (1+1) + (2+1) +(3+1) +(4+1)\\=2+3+4+5\\=14$

Option 4:

∑(2i-2) where i = 4 to 5

$Sum = [2(4)-2]+[2(5)-2]\\=(8-2)+(10-2)\\=6+8\\=14$

Hence,

Sum of Option 2 does not equal to others

Keywords: Sum, Formulas

Learn more about summation at:

• brainly.com/question/12973601
• brainly.com/question/13063819

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