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Answer:

Option 1: 28 is the correct answer.

Step-by-step explanation:

The given expression for sum is:

[tex]\[ \sum_{n=1}^{4} {2n+2} = 1 \][/tex]

There will be four terms in the sum

We have to find the terms by putting n=1,2,3,4 as n=1 to 4

Putting n=1

[tex]=2(1)+2 = 2+2 = 4[/tex]

Putting n=2

[tex]=2(2)+2 = 4+2 = 6[/tex]

Putting n=3

[tex]=2(3)+2 = 6+2 = 8[/tex]

Putting n=4

[tex]=2(4)+2 = 8+2 = 10[/tex]

So the summation will expand to:

[tex]\[ \sum_{n=1}^{4} {2n+2} = 1 \] = 4+6+8+10 = 28[/tex]

Hence,

Option 1: 28 is the correct answer.

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