792 views
0 votes
Someone knows the answer for this ?

Someone knows the answer for this ?-example-1
User MBT
by
8.4k points

1 Answer

0 votes

Answer:

Option B.

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.

User Juanito Fatas
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories