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.
