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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 ...
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.
It reached #34 on the U.S. Billboard Hot 100 in April 2009 and was certified Platinum in June 2011, having sold over 1 million digital copies. The record has since gone 2× Platinum. The record has since gone 2× Platinum.
LANSING, Mich. (AP) — Democratic Rep. Elissa Slotkin is using her fundraising advantage in the race for Michigan’s coveted open U.S. Senate seat to drop $8 million on advertising in the final ...
Canero Satin Heatless Curling Set. $8 $16. Save $8 with Prime. Give your hair a break from hot tools and opt for this deeply discounted heatless curling set instead. Simply wrap your damp hair ...
On Tuesday, the national average for gasoline stood at $3.52 per gallon, down $0.06 from one week ago, the largest weekly drop of 2024, according to AAA data. The decline comes amid falling crude ...
The primes of the form 2n+1 are the odd primes, including all primes other than 2. Some sequences have alternate names: 4n+1 are Pythagorean primes, 4n+3 are the integer Gaussian primes, and 6n+5 are the Eisenstein primes (with 2 omitted). The classes 10n+d (d = 1, 3, 7, 9) are primes ending in the decimal digit d.
The two benchmarks are on pace for a weekly loss of about 4% and 3%, respectively. Here are today’s energy prices: West Texas Intermediate July contract: $76.67 a barrel, down 19 cents, or 0.25%.
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