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The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...
"1, 2, 3, 4" (sometimes subtitled "I Love You") is the second single from the Plain White T's second worldwide album, Big Bad World. It reached #34 on the U.S ...
"1, 2, 3, 4 (Sumpin' New)" is a song by American rapper Coolio. It was the third single released from his second studio album, Gangsta's Paradise (1995), in February ...
The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.
Illustration of the poem from the 1901 Book of Nursery Rhymes "One, Two, Three, Four, Five" is one of many counting-out rhymes. It was first recorded in Mother Goose's Melody around 1765.
This gives us the distribution of spots on the faces of a pair of Sicherman dice as being {1,2,2,3,3,4} and {1,3,4,5,6,8}, as above. This technique can be extended for dice with an arbitrary number of sides.
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1-2-3-4 Rock and Roll is an EP produced by British heavy metal band, Girlschool.It was released in 1983 by Bronze Records, in an attempt to boost the declining sales of the band and launch the upcoming new album Play Dirty.