Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

waheguru

  • 3 years ago

I don't understand this question The sum of the first "n" natural numbers is a quadratic relation. Determine that relation and verify it for the first 6 natural numbers

  • This Question is Closed
  1. Mertsj
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    We would be talking about the sum of this arithmetic series: 1,2,3,4,5,...n-1, n

  2. waheguru
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Can you show me step by step how to solve this

  3. Mertsj
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't really know. I would hunt up the formula for the sum of an arithmetic series and see where that leads me.

  4. Mertsj
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    http://www.trans4mind.com/personal_development/mathematics/series/sumNaturalNumbers.htm

  5. electrokid
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    natural number sequence is 1, 2, 3, 4, 5,/// notice that "0" is not a natural number

  6. electrokid
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    this is an arithmatic sequence of difference "1" so, \[S_n={n\over2}[a_0+(n-1)d]\\ S_n={n\over2}[1+(n-1)]\\ S_n={n^2\over2}\]

  7. waheguru
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can you explain how you came up with the formula

  8. electrokid
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the formula \[S_n={n\over2}[a_0+(n-1)d]\] is the formula for the sum of "n" numbers in arithmetic series starting from "a0" with a common difference of "d"

  9. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy