xavierbrotherton
Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

The sum of the first n consecutive even numbers can be found using S = n2 + n, where n > 2. What is the value of n when the sum is 30?

Sagot :

Lanuel

The value of n when the sum is 30 is equal to 5.

Given the following data:

  • Sum, S = 30

To determine the value of n when the sum is 30:

How to calculate the sequence of numbers.

Mathematically, the sum of the first n consecutive even numbers is given by this formula:

[tex]S=n^2+n[/tex]

Where:

  • S is the sum.
  • n is the consecutive even numbers.

Substituting the given parameters into the formula, we have;

[tex]30=n^2+n\\\\n^2+n-30=0\\\\n^2 +6n-5n-30=0\\\\n(n+6)-5(n+6)=0\\\\(n+6)(n-5)=0[/tex]

n = -6 or 5.

Since, n > 2;

n = 5.

Read more on sequence here: https://brainly.com/question/219301

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.