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.
The sum of the series a + ar + ar2 + ... is a/(1 - r) for |r| < 1
The following will sum all integers from 1-100. Adjust according to your needs.int sum = 0;for (int i = 1; i
There are none.
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)
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.
1+sqrt(2) and 1-sqrt(2) are both irrational but their sum, 2, is rational.
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AR Many people believe it is AK, but that is Alaska.
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
The noble gas electronic configuration of iron is [Ar] 3d6 4s2
Ar Ceòl Ar Cànan Ar-A-Mach was created in 2006.
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