Math

posted by .

What is the sum of the first 200 odd numbers?

A rectangle has an area of 120 cm square we are trying to find possible perimeters. It's length and width are whole numbers. What are all the possibilities for the 2 numbers?

Give next two terms
3,4,7,11,18,29....
1,2,6,24,120....
77,49,36,18....

  • Math -

    Odd numbers: 1 , 3 , 5...

    200th od number = 399

    Now:

    1 + 399 = 400

    3 + 397 = 400

    5 + 395 = 400
    ....
    199 + 201 = 400

    100 * 400 = 40,000



    A = L * W = 120

    L = 120 / W

    120 = 2 * 2 * 2 * 3 * 5

    Ohe possibilities for the 2 numbers all numbers dividable with 2 3 and 5

    W = 120 , L = 120 / 120 = 1

    W = 60 , L = 2

    W = 30 , L = 4

    W = 15 , L = 8

    W = 10 , L = 12

    W = 8 , L = 15

    W = 6 , L = 20

    W = 4 , L = 30

    W = 3 , L = 40

    W = 2 , L = 60

    W = 1 , L = 120



    3,4,7,11,18,29....

    The previous two numbers make up the next number:

    3 + 4 = 7

    7 + 4 = 11

    11 + 7 = 18

    11 + 18 = 29


    Last two are:

    18 + 29 = 47

    and

    29 + 47 = 76



    3 ,4 , 7 , 11 , 18 , 29 , 47 , 76





    1 , 2 , 6 , 24 , 120..

    The multiplier increases by one each time:

    1 x 2 = 2

    2 x 3 = 6

    6 x 4 = 24

    24 x 5 = 120

    120 x 6 = 720

    720 x 7 = 5040


    1 , 2 , 6 , 24 , 120 , 720 , 5040





    77 , 49 , 36 , 18 ...



    77

    7 x 7 = 49

    4 x 9 = 36)

    3 x 6 = 18

    1 x 8 = 8)

    0 x 8 = 0


    77 , 49 , 36 , 18 , 8 , 0

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math-word problems with quadratics

    I have 5 questions... 1) The sum of two numbers is 12. Their product is 36. Find the two numbers. 2) The sum of two numbers is -15. Their product is -100. Find the two numbers. 3) The sum of two numbers is -8. Their product is 12. …
  2. SUMS?

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

    a rectangle is 3 times as wide as a square. the rectangle's length is 15 ft shorter than 5 times the square's length. Given that the sum of the two perimeters must be less than 150 ft, find the set of all possible lengths for the rectangle
  4. Math

    There's a triangle the numbers on each sides are 22 25 and 11 What is it's perimeter and area?
  5. Math

    The first question is this: Helen designs a rectangle with an area of 225 square units. Her rectangle is the largest rectangle (that is, with largest area) with whole-number side lengths that can be made from the perimeter of the rectangle. …
  6. Math

    The area of a rectangle is shown below The area of the rectangle is 56 Which of the following are possible values for the length and width of the rectangle?
  7. Math

    1.(A)(i)Show that 2+4+6+8+..+2n=n(n+1). (ii)Find the sum of the first 200 even numbers. (iii)Find the sum of the first 200 odd numbers. (B)(i)Use the formula at the beginning of the question to find the sum of the first 2n natural …
  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 area of a rectangle is 247 cm^2. The width and length are both whole numbers greater than 1. What are the dimensions of the rectangle?
  10. Math asap

    2.David wants to build a pen for his goat. He wants the area of the pen to be 48 square feet. If the length and width of the pen are whole numbers, which of the following could be the perimeter of the pen?

More Similar Questions