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Philip James DeFranco[3](born Philip James Franchini Jr.;[4]born December 1, 1985), commonly known by his online nickname PhillyD, and formerly known as sxephil, is an American media host and YouTube personality. He is best known for The Philip DeFranco Show, a news commentary show centered on current events in politics and pop culture.
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 ...
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.
In the mathematics of sums of powers, it is an open problem to characterize the numbers that can be expressed as a sum of three cubes of integers, allowing both positive and negative cubes in the sum. A necessary condition for an integer to equal such a sum is that cannot equal 4 or 5 modulo 9, because the cubes modulo 9 are 0, 1, and −1, and ...
SourceFed Studios. SourceFed Studios was an American digital media company and multi-channel network created by Philip DeFranco in 2011. After finding success during the early years of YouTube with his eponymous news show, DeFranco secured funding from YouTube and launched SourceFed as part of the YouTube Original Channel Initiative in 2012.
The show is recorded by DeFranco in his production office in Woodland Hills, Los Angeles. [1] The PDS is then edited by James Girardier so that the episode is presented in a fast paced vlog format, complemented with use of frequent jump cuts throughout. [1] [2] [3] The topics discussed in the show vary, but usually cover pop culture and news. [4]
1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series 1 2 + 1 4 + 1 8 + 1 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation ...
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