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The product of two consecutive positive integers is added to the larger of the two integers. Prove that the result is always a square number. Thank you for your help.

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  1. Maths help asap please.

    The product of two consecutive positive integers is added to the larger of the two integers. Prove that the result is always a square number. Thank you for your help.
  2. Maths

    The product of two consecutive positive integers is added to the larger of the two integers. Prove that the result is always a square number. Thank you for your help.
  3. quad. eq.

    find 3 consecutive integers such that the product of the second and third integer is 20 Take three integers x, y, and z. The for xyz, we want y*z = 20 The factors of 20 are 20*1 10*2 5*4. 20*1 are not consecutive. 10*2 are not consecutive. But 5 and 4 are
  4. math

    The positive difference of the cubes of two consecutive positive integers is 111 less than five times the product of the two consecutive integers. What is the sum of the two consecutive integers?
  5. Algebra

    For two consecutive positive even integers, the product of the smaller and twice the larger is 160. Find the integers.
  6. math

    the sum of the reciprocals of three consecutive positive integers is equal to 47 divided by the product of the integers. what is the smallest of the three integers?
  7. smallest of 3 integers

    The sum of the reciprocals of three consecutive positive integers is equal to 47 divided by the product of the integers. What is the smallest of the three integers?
  8. math

    the sum of the reciprocals of 3 consecutive positive integers is 47 divided by the product of the integers. what is the smallest of the 3 integers
  9. Algebra

    The larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. Find the integers. Must have an algebraic solution.
  10. Integers

    The larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. Find the integers.
  11. math

    i don't get this question consecutive integers are integers that differ by one. you can represent consecutive integers as x,x+1,x+2 and so on. write an equation and solve to find 3 consecutive integers whose sum is 33
  12. Math

    If the product of 4 consecutive integers is equal to one of the integers, what is the largest possible value of one of the integers? The answer is 3, but I do not understand how it is 3. I tried writing out 4 consecutive #'s such as 1,2,3,4 or 0,1,2,3. 0 x
  13. algebra

    what are 3 consecutive positive even integers that the product of the second and third integers is twebnty more than ten times the first integer?
  14. Math

    Find four consecutive,positive,even integers such that the product of the and the last integer equals the square of the 2nd integers
  15. Algebra 2

    Find three consecutive odd positive integers such that 3 times the sum of all three is 152 less than the product of the first and second integers
  16. math

    the product of three consecutive positive integers is 35,904. what is the sum of the three integers?
  17. Math

    The product of two consecutive even positive integers is 120. Find the integers.
  18. Math

    What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? I can't remember how to start this.
  19. Math

    What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? I can't remember how to start this.
  20. Amanda

    The product of two consecutive positive integers is 11 more than their sum. What the integers? Please help.
  21. math

    The product of two consecutive positive even integers is 48. Find the integers.
  22. math

    The product of two consecutive positive integers is 11 more than their sum. What the integers? Please help.
  23. math

    What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest? Note: Consecutive integers are integers that come one after the other. For example: -3, -2 and -1 or 14, 15 and 16.
  24. math

    What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest? Note: Consecutive integers are integers that come one after the other. For example: -3, -2 and -1 or 14, 15 and 16.
  25. math

    What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest? Note: Consecutive integers are integers that come one after the other. For example: -3, -2 and -1 or 14, 15 and 16.
  26. algebra

    1. (Given the simple interest formula, I = Prt, solve for t) 2.(Consecutive integers are integers that follow each other in order (for example 5, 6, and 7). The sum of three consecutive integers is 417. Let n be the first one. Write an equation that will
  27. Algebra

    find three consecutive positive even integers such that the product of the second and third integers is twenty more than ten times the first integer. [only an algebraic solution can give full credit]
  28. math, algebra

    2a+2ab+2b I need a lot of help in this one. it says find two consecutive positive integers such that the sum of their square is 85. how would i do this one i have no clue i know what are positive integers.but i don't know how to figure this out. Let n be a
  29. math

    The difference between two positive integers is 3. If the smaller is added to the square of the larger, the sum is 53. Find the integers
  30. math

    Two positive integers aer in the ratio 2:5. If the product of the two integers is 40, find the larger integer.
  31. math

    The difference between two positive integers is 3. If the smaller is added to the square of the larger, the sum is 417. Find the integers
  32. math

    find two consecutive positive integers such that their product added to four times the smaller integer equals 36
  33. Pre Calc 12

    Four consecutive integers have a product of 360 Find the integers by writing a plynomial equation that represents the integers and then solving algebraically.
  34. Algebra II

    The sum of the reciprocals of two consecutive positive integers is 17/12. Write an equation that can be used to find the two integers. What are the integers?
  35. math

    Consecutive integers are integers that follow each other in order (for example 5, 6, and 7). The sum of three consecutive integers is 417.Let n be the first one. Write an equation that will determine the three integers.
  36. math

    i don't get this question consecutive integers are integers that differ by one. you can represent consecutive integers as x,x+1,x+2 and so on. write an equation and solve to find 3 consecutive integers whose sum is 33 how do you solve this
  37. intergers

    Explain why the product of any three consecutive integers is divisible by 6 Write out some groups of ‘three consecutive integers’ and try to figure out what they have in common.
  38. Algebra

    so the answer for 3 consecutive positive even integers such that the product of the second and third integers is 20 more than ten times the first integer........the answer is n=6 and n=-2
  39. math

    there are three consecutive positive integers such that the sum of the squares of the smallest two is 221. write and equation to find the three consecutive positive integers let x= the smallest integer
  40. math

    1.twice a number is 6 2.four added to a number gives ten 3.twenty five decreased by twice a number twelve 4.if thrice a number added to seven,the sum is ninety eigth 5.the sun of the squares of a number x and 3yields 25 6.the difference between thrice a
  41. Math

    Paulo withdraws the same amount from his bank account each week to pay for lunch. Over the past four weeks, he withdrew one hundred twenty dollars. Which rule best applies to determine the change in his account each week? 1. The product of two positive
  42. Math

    When you solve questions like "The sum of 3 consecutive integers is 147. Find the integers." do you find consecutive even integers and consecutive odd integers the same way?
  43. Math

    2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two integers. What are the integers? Steve helped me yesterday and gave me the hint 8+9=17. Then I thought about it and saw 8*9=72,
  44. math

    Any product of four consecutive integers is one less than a perfect square.(Hint: Take four consecutive integers as ) , m , m , mm +1 +2 +3
  45. maths

    1. If the first and third of three consecutive odd integers are added, the result is 51 less than five times the second integer. Find the third integer. 2. Write as a subtraction problem and evaluate. 15 less than -2 n, n+1, N+2, ... are consecutive
  46. math

    Find the sum of all positive integers m such that 2^m can be expressed as sums of four factorials (of positive integers). Details and assumptions The number n!, read as n factorial, is equal to the product of all positive integers less than or equal to n.
  47. Math

    If the larger of two consecutive integers is subracted from twice the smaller integer, then the result is 21. Find the integers.
  48. Algebra 1

    The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers. A) 4,5 B) -8,-9 C) -5,-6
  49. algebra

    The larger of two consecutive integers is 10 more than 4 times the smaller. Find the integers.
  50. algebra

    The larger of two consecutive integers is 10 more than 4 times the smaller. Find the integers.
  51. Math

    Two positive integers are in ratio 1:3. If their sum is added to their product, the result is 224. Find the integers. On my own, I came up with the formula 224 = x + 3 x + 3x^2 but it's not really working out. Could someone please help me?
  52. math

    find the product of two consecutive odd integers if the larger is 4m+5
  53. math

    ind two consecutive even integers such that the smaller added to five times the larger is 58
  54. math

    What two positive consecutive integers have a product of 72?
  55. algebra

    If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find all three integers.
  56. Algebra

    If the first and third of three consecutive even integers are added, the result is 12 less than three times the second integer. Find the integers.
  57. algebra

    The sum of the squares of two consecutive odd integers decreased by the product of the integers is the same as sixty-seven.
  58. Algebra

    The product of 3 consecutive integers decreased by the cube of the first is 85. Wahat are the integers? THE GIVEN EQUATION IS: (x)(x+1)(x+2)-xcube = 85 How can i solve this ?
  59. Math

    1. if the largest of three consecutive even integers is multiplied by 5, the product is 6 less than three times the sum of the first two integer. fin the integers.
  60. Algebra

    The product of the smallest and largest of three consecutive even integers is three times the middle integer. Find the integers
  61. Algebra

    The sum of the squares of two consecutive positive even integers is one hundred sixty-four. Find the two integers.
  62. math

    the sum of the squares of four consecutive positive integers is 734. what is the smallest of the integers?
  63. algebra2

    Two consecutive positive integers have the property that one integer times twice the other equals 612. What is the sum of these two integers?
  64. Math

    The product of three consecutive odd integers reduced by 23 is 99 less than the cube of the sum of the smallest number and 2. Compute the mean of the three integers.
  65. Algebra

    Need a formula; the product of two consecutive integers is 41 more than their sum. Find the integers.
  66. Algebra

    The product of two consecutive odd integers is 1 less than twice their sum.find the integers
  67. Math

    The product of three consecutive odd integers is 4845. What is the largest of these three integers?
  68. math

    The product of two consecutive integers is two hundred forty. Find the two integers.
  69. algebra

    find three consecutive integers whose product is 33 larger than the cube of the smallest integer
  70. math

    Find two consecutive positive integers whose product is 72
  71. math

    the sum of the square of two consecutive positive integers is 265.what are the integers?
  72. math induction

    prove the product of 4 consecutive integers is always divisible by 24 using the principles of math induction. Could anyone help me on this one? Thanks in advance! Sure For induction we want to prove some statement P for all the integers. We need: P(1) to
  73. Maths

    The sum of the squares of three consecutive positive integers is 365 What are these integers? Please write this problem in quadratic equation form please
  74. Math

    find three consecutive positive odd integers such that the sum of the squares of the first and second integers is equal to the square of the third integer minus 7?
  75. equation

    the smallest 3 consecutive integers is added to twice the largest , the result so obtained is fifteen less than four times the middle integer. find the integers
  76. math

    the product of two even consecutive integers is 224. find the integers
  77. 8th grade Maths

    The product of three consecutive integers is -1716. What is the greatest of the three integers?
  78. math

    The product of two consecutive odd integers is 35. Find the integers
  79. math

    the product of two even consecutive integers is 224. find the integers
  80. math

    the product of two even consecutive integers is 224. find the integers
  81. quadratic word problems

    a rectangular swimming pool has a perimeter of 24 feet. what should the dimesions of the pool be to create a maximum area? what would this area be? If x is the one side's dimension, the adjacent side's dimension is 12 - x. (That makes the perimeter 24).
  82. Math

    Find 3 consecutive positive integers whose product is 5 more than the cube of the middle number. Tried x*(x+1)*(x+2) = (x+1)^3 + 5, but that solves to x = -6 which isn't positive.
  83. Mathematics

    Find two consecutive odd positive integers , whose product is 35
  84. math

    Find two consecutive positive integers whose product is 132.
  85. Math

    Find two consecutive positive integers such that the square of the smaller increased by 4 times the larger is 64.
  86. math check

    2.)The sum of four consecutive odd integers is -336. Set up an equation AND solve for all of the integers. Two ways to approach this. -336/4 = -84 making the 4 consecutive odd numbers -81, -83, -85 and -87. Alternatively: x + (x + 2) + (x + 4) + (x + 6) =
  87. Alg 1

    The product of two consecutive integers, n and n+1, is 42. What is the positive integer that satisfies the situation? Is it 6 x 7?
  88. Pre-Algebra

    Find 3 consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 5 times the third.
  89. Math ( Number Theory )

    How many numbers from 1 to 1000 inclusive can be expressed as the sum of k >= 2 consecutive positive integers for some value of k ? Sorry to post question from Brilliant, I got 997 integers, but it's wrong. If you think you can answer ...
  90. Algebra

    The sum of two consecutive integers is -15. what is the product of the two integers?
  91. Algebra

    The sum of two different positive integers is 123. The larger integer is four more than six times the smaller one. What are the two integers?
  92. Algebra

    The numbers a and b are consecutive positive integers, and a < square root 200 < b. What is the value of the product ab?
  93. algebra

    Write the following as a quadratic equation. The product of two consecutive positive integers equals 56. a) n (n + 1) = 56 b) n^2 = 56 c) n (n - 1) = 56 d) n (n + 2) = 56
  94. Math

    The greater of two consecutive even integers is six less than twice the smaller. Find the integers. Let the smaller be x. That means that the larger is x+2. From your statement x+2=2x-6 Solve for x. I hope this helps. Thanks for asking.
  95. math

    when the reciprocal of the larger of the two consecutive even integers is subtracted from 4 times the reciprocal of the smaller, the result is 5/6. find integers.
  96. math

    if the reciprocal of the smaller of two consecutive integers is subtracted from three times the reciprocal of the larger, the result is 3/10. find the integers
  97. maths

    If the product of two positive integers is 363, and the least common multiple of them is 33, what is the sum of the two positive integers?
  98. maths

    If the product of two positive integers is 363, and the least common multiple of them is 33, what is the sum of the two positive integers?
  99. Math

    The sum of four consecutive even integers is the same as the least of the integers. Find the integers. I'm not sure how to solve it and put it in an equation!
  100. Math

    Pick 2 consecutive, positive integers and call them a and b. Prove that a/2 + b/2 >/= 1. what does it mean by consecutive and positive integers? and how you can prove it? Thank You..

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