Question

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Answer 1

Answer:

Option 1: 28 is the correct answer.

Step-by-step explanation:

The given expression for sum is:

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

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

$=2(1)+2 = 2+2 = 4$

Putting n=2

$=2(2)+2 = 4+2 = 6$

Putting n=3

$=2(3)+2 = 6+2 = 8$

Putting n=4

$=2(4)+2 = 8+2 = 10$

So the summation will expand to:

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

Hence,

Option 1: 28 is the correct answer.