Someone knows the answer for this ?

Option B.

Step-by-step explanation:

Each summation symbol tells you to add terms. The terms are obtained by replacing n in the expression with the integers 1, 2, 3, 4, 5, and 6.

Let's look at option A:

The expression is 2(2)^n.

Replacing n with 1, 2, ..., 6 gives us these terms, which are added:

2(2)^1, 2(2)^2, 2(2)^3, 2(2)^4, 2(2)^5, 2(2)^6

The terms above simplify to:

4, 8, 16, 32, 64, 128

Clearly these are not the terms in the series you are given, so option A is not the answer.

Let's now look at option B:

Replacing n in 2n with 1, 2, 3, ..., 6 gives us:

2(1), 2(2), 2(3), 2(4), 2(5), 2(6) which simplifies to 2, 4, 6, 8, 10, 12.

Since it's a summation, you add the terms above to get

2 + 4 + 6 + 8 + 10 + 12

Option B is the answer.

(x+3)(x+7)

step-by-step explanation:

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