Find the sum of the following series. PLEASE SOMEONE HELP!!!
1 answer:
The given sum for n = 1 to n = 15 is equal to 255, so the correct option is B.
<h3>How to find the sum of the given series?</h3>
We want to find the sum of the series whose elements are of the form:
(2n + 1)
From n = 1 to n = 15.
Then our sum will be:
(2*1 + 1) + (2*2 + 1) + ... + (2*15 + 1).
3 + 5 + ... + 31
This is the sum of all odd numbers in the interval [3, 31]
Which gives:
So the correct option is B.
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Answer: Fraction they both eat = .
Fraction of bag remains =
Step-by-step explanation:
Given: Part of cookies eaten by Scott =
Part of cookies eaten by sister =
Fraction they both eat =
Fraction of the bag remain =
[Taking fraction of whole bag =1]
Hence, Fraction they both eat = .
Fraction of bag remains =
Using the Fundamental Counting Theorem, it is found that:
The 2 people can arrange themselves in 40 ways.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
With one people in the aisle and one in the normal seats, the parameters are:
n1 = 4, n2 = 7
With both in the aisle, the parameters is:
n1 = 4, n2 = 3
Hence the number of ways is:
N = 4 x 7 + 4 x 3 = 28 + 12 = 40.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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