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Give an example of 11 consecutive positive integers the sum of whose squares is a perfect square. Because we respect your right to privacy, you can choose not to allow some types of cookies. Click on the different category headings to find out more and change our default settings.

Suppose first that the number n is a prime number. n = 2 can clearly not be written as the sum of consecutive positive integers, because the first two positive integers are 1 and 2. And all prime numbers other than 2 are odd, and any odd number of the form 2k+1 (k an integer) is the sum of the two consecutive integers k and k+1.

We now want to find out the sum of all these n! numbers are added together. Let us take an example and understand how it is to be done and then look it as a formul. To find the sum of all the four digit numbers formed using the digits 2,3,4 and 5 without repetition: We can form a total of 4! or 24 numbers.

Question 304253: the sum of the squares of two consecutive integers is 365. what are the integers. thx. Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website! 2*2*2*7*13=728. 7*4=28 13*2=26 so -13 and +28 are the factoring numbers. (-14,-13)or(13,14)

The only two-digit prime whose square is the sum of the squares of two consecutive two-digit numbers: (20^2+21^2). The prime p for which the harmonic series of odd primes (1/3 + 1/5 + 1/7 + 1/11 + ... + 1/p) first exceeds unity. The maximal number of regions into which a circle can be divided by 7 lines.

Let first positive integer be xSo, other positive integer = x + 1According to question,x2 + (x + 1)2 = 365 x2 + x2 + 1 + 2x = 365⇒ 2x2 + 2x – 364 = 0⇒ x2 + x – 182 = 0⇒ x2 + 14x – 13x – 182 = 0⇒ x(x + 14) – 13(x + 14) = 0⇒ (x – 13) (x + 14) = 0⇒ x – 13 = 0or x + 14 = 0⇒ x = 13or x = –14Here x = – 14 does not exist.Therefore, required positive integers are : x = 13 and x + 1 = 13 + 1 = 14.

High-Resolution Geologic Mapping in the Eastern Manus Basin. NASA Astrophysics Data System (ADS) Thal, J.; Bach, W.; Tivey, M.; Yoerger, D. R. 2011-12-01. AUV-based microbathymetry combined with ROV video data was used to create the first high-resolution geologic maps of two hydrothermal active areas in the eastern Manus Basin: North Su volcano and PACManus hydrothermal field on Pual Ridge.

(a) Find all values of X that are mutually beneficial for Dan and firm N, provide graphical solution. (b) Suppose that X=20. A corrupted manager from bank M possesses information about the bank's position and can say with certainty whether bankruptcy will take place. He offers Dan to sell this...

Sum 41 is a video-obsessed pop punk band from Canada. The most frequent sum of digits (known) is 41. The Sun's wobble speed is about 41 feet per second. The smallest prime whose cube can be written as sum of three cubes in two ways (41 3 = 40 3 + 17 3 + 2 3 = 33 3 + 32 3 + 6 3). 41 is the smallest prime beginning with a composite digit.

The two consecutive negative odd integers having 74 as the sum of their squares are -5 and -7. find three consecutive integers whose sum is - 93. There are no two consecutive even integers, consecutive odd integers, or consecutive integers that satisfy that relationship.

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Find two consecutive odd positive integers, sum of whose square is 290. Penny Nom lui répond. Three consecutive natural numbers: 2017-06-11: Anita pose la question : Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the square of the other two by 60. Find the numbers. Penny Nom lui répond.

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Interview question for Software Engineer.Given an array of positive integers and a target integer, find if there is a consecutive subarray that sums to the target.

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3 Solutions to Find Pair Of Integers in Array whose Sum is Given Number. The first solution which comes in my mind is our friend brute-force, naive but genuine. In order to find two numbers in an array whose sum equals a given value, we probably don't need to compare each number with other.

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Jun 24, 2019 · Consecutive numbers (or more properly, consecutive integers) are integers n 1 and n 2 such that n 2 –n 1 = 1 such that n 2 follows immediately after n 1. Algebra problems often ask about properties of consecutive odd or even numbers, or consecutive numbers that increase by multiples of three, such as 3, 6, 9, 12.

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In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted. . For example, the gcd of 8 and 12 is 4, that is, .

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…that all Consecutive Odd Integers and Consecutive Even Integers are always two more than the previous number, as Online Math Learning Together we will successfully translate sentences that represent Consecutive Integers and apply them to such questions as finding age of siblings, height...

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Let the consecutive positive integers be x and x + 1. Either x + 14 = 0 or x − 13 = 0, i.e., x = −14 or x = 13. Since the integers are positive, x can only be 13. ∴ x + 1 = 13 + 1 = 14. Therefore, two consecutive positive integers will be 13 and 14.

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Two consecutive positive integers: 2015-03-01: From meha: Find two consecutive positive integers , sum of whose squares is 365. Answered by Penny Nom. Three consecutive positive integers: 2008-07-20: From AC: find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 4 times the third ...

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Finally, the sum of the squares of the two consecutive numbers is given by the expression: n² + n² + 2n + 1 = 2n² + 2n +1 = 2n (n + 1) +1 . If the previous formula is detailed, it can be seen that it is enough to know the smallest integer"n"to know what the sum of the squares is, that is, it is enough to use the smaller of the two integers.

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