Math 543

posted by .

The number 3136 is the sum of the first how many odd whole numbers?

  • Math 543 -

    56

  • Math 543 -

    how did you solve

  • Math 543 -

    so we have
    1+3+5+7+... = 3136

    let the number of terms of this AS be n
    (n/2)(2a +(n-1)d) = Sum(n)
    So we have a=1, d=2 , and n = ?
    (n/2)(2 + (n-1)2) = 3136
    times 2 ....
    n(2 + 2n - 2) = 6272
    2n^2 = 6272
    n^2 = 3136
    n = ± 56 , but n has to be a positive whole number,

    there are 56 terms

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Mathematics - Cardinal Number

    Hi, This is a really easy question. I think I am analyzing it too much: Find the cardinal number of the following set: {1,3,5,.....1001} Thanks in advance. Ok, the cardinal number is the numbe of members of a set. The set you've given …
  2. SUMS?

    what is the sum of the first towo odd numbers?
  3. Math 543

    The number 3136 is the sum of the first how many odd whole numbers?
  4. Math

    Find the sum of the first 35 consecutive odd numbers. What is the sum of the first 350 consective odd numbers?
  5. Math 130

    Sum the first two odd numbers, then the first three, the first four, and so on. From these observations could you guess the sum of the first 100 odd numbers?
  6. Math

    Sum the first two odd numbers, then the first three, the first four, and so on. From these observations could you guess the sum of the first 100 odd numbers?
  7. math

    If the first of 1000 consecutive whole numbers is odd, their sum must be a) even b) odd c)prime d) negative Help?
  8. Math

    Nine consecutive odd whole numbers sum to 243. Find the sum if the first and last whole numbers in this nine-addend ser.
  9. math

    The sum of the first n odd number is n^2. The sum of the first 30 odd numbers is A. 60 B. 90 C. 300 D. 900 Thank you for the help in advance =)
  10. Math

    Use the Distributive Property to prove each statement. Hint: you can write an even number as 2n and odd number as 2n + 1, where n represents any whole number. A. The sum of two even numbers is even. B. The sum of two odd numbers is …

More Similar Questions