Question

What is the expansion of the series sum from n equals 1 to 4 of 2 to the n plus 1 power question mark

2 + 4 + 6 + 8
2 + 4 + 8 + 16
4 + 6 + 8 + 10
4 + 8 + 16 + 32

Answer 1

The expansion of the series is 2 + 6 + 8 + 10

How to determine the expansion?

The summation expression is given as:

$\sum\limits^4_{n=1} 2(n + 1)$

When n = 1, we have:

2(n + 1) = 2(1 + 1)  = 4

When n = 2, we have:

2(n + 1) = 2(2 + 1)  = 6

When n = 3, we have:

2(n + 1) = 2(3 + 1)  = 8

When n = 4, we have:

2(n + 1) = 2(4 + 1)  = 10

So, we have:

$\sum\limits^4_{n=1} 2(n + 1) = 2 + 6 + 8 + 10$

Hence, the expansion of the series is 2 + 6 + 8 + 10

Read more about summation at:

https://brainly.com/question/542712

#SPJ1