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Many numbers can be expressed as the sum of two or more consecutive integers.
For example, the number 15 can be written as the sum of consecutive integers in three different ways:
15=7+8
15=4+5+6
15=1+2+3+4+5
Look at numbers other than 15 and find out all you can about writing them as sums of consecutive whole numbers.
What else can I help you with?
What is the sum of the infinite geometric series?
The sum of the series a + ar + ar2 + ... is a/(1 - r) for |r| < 1
Java code to find the sum in all integer?
The following will sum all integers from 1-100. Adjust according to your needs.int sum = 0;for (int i = 1; i
How many positive integers ar equal to 12 times the sum of their digits?
There are none.
What is the formula to find the sum of a geometric sequence?
The formula to find the sum of a geometric sequence is adding a + ar + ar2 + ar3 + ar4. The sum, to n terms, is given byS(n) = a*(1 - r^n)/(1 - r) or, equivalently, a*(r^n - 1)/(r - 1)
Find three numbers in gp whose sum is 28 and whose product is 512?
Let the three numbers in geometric progression be ( a, ar, ar^2 ). The sum can be expressed as ( a(1 + r + r^2) = 28 ) and the product as ( a^3 r^3 = 512 ). From the product, we find ( a r = 8 ), allowing us to express ( a ) as ( \frac{8}{r} ). Substituting this into the sum equation leads to the system of equations that can be solved to find ( a ) and ( r ), yielding the numbers 4, 8, and 16.
Erika knows that when you add two rational numbers you get ar rational number therefor she concludes that the sum of two irrational numbers is irrational prove her wrong?
1+sqrt(2) and 1-sqrt(2) are both irrational but their sum, 2, is rational.
Is there a AR code for Pokemon diamond that lets you by-pass the stat sum of 510?
yes but it doesnt work, it will let use an item that increases the stats but it wont do anything.
What is the noble gas configuration of iron-II ion?
The noble gas electronic configuration of iron is [Ar] 3d6 4s2
What is the abbreviation for Arkansas?
AR Many people believe it is AK, but that is Alaska.
How many nuetrons in argon?
Ar^30 | 12 Ar^31 | 13 Ar^32 | 14 Ar^33 | 15 Ar^34 | 16 Ar^35 | 17 Ar^36 | 18 Ar^37 | 19 Ar^38 | 20 Ar^39 | 21 Ar^40 | 22 Ar^41 | 23 Ar^42 | 24 Ar^43 | 25 Ar^44 | 26 Ar^45 | 27 Ar^46 | 28 Ar^47 | 29 Ar^48 | 30 Ar^49 | 31 Ar^50 | 32 Ar^51 | 33 Ar^52 | 34 Ar^53 | 35
When was Ar Ceòl Ar Cànan Ar-A-Mach created?
Ar Ceòl Ar Cànan Ar-A-Mach was created in 2006.
Q 5th term of a GP is 2 then product of its 9 terms is?
I'll try to answer the question, "If the 5th term of a geometric progression is 2, then the product of its FIRST 9 terms is --?" Given the first term is A and the ratio is r, then the progression starts out... A, Ar, Ar^2, Ar^3, Ar^4, ... So the 5th term is Ar^4, which equals 2. The series continues... Ar^5, Ar^6, Ar^7, Ar^8, ... Ar^8 is the 9th term. The product P of all 9 terms is therefore: P = A * Ar * Ar^2 *...*Ar^8 Collect all the A's P = (A^9)*(1 * r * r^2 ...* r^8) P = A^9 * r^(0+1+2+...+8) There's a formula for the sum of the first n integers (n/2)(n+1), or if you don't know just add it up. 1+2+...+8 = 36 Therefore P = A^9 * r^36 Since 36 is a multiple of 9, you can simplify: P = (Ar^4)^9 Still with me? Remember that Ar^4=2 (a given fact). So finally P = 2^9 = 512. Cute problem.
