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2 3/4
The infinite series whose terms are the natural numbers 1 + 2 + 3 + 4 + ⋯ is a divergent series. The nth partial sum of the series is the triangular number
∑
k
=
1
n
k
=
n
(
n
+
1
)
2
,
{\displaystyle \sum _{k=1}^{n}k={\frac {n(n+1)}{2}},}
which increases without bound as n goes to infinity. Because the sequence of partial sums fails to converge to a finite limit, the series does not have a sum.
Although the series seems at first sight not to have any meaningful value at all, it can be manipulated to yield a number of mathematically interesting results. For example, many summation methods are used in mathematics to assign numerical values even to a divergent series. In particular, the methods of zeta function regularization and Ramanujan summation assign the series a value of −+1/12, which is expressed by a famous formula,
1
+
2
+
3
+
4
+
⋯
=
−
1
12
,
{\displaystyle 1+2+3+4+\cdots =-{\frac {1}{12}},}
where the left-hand side has to be interpreted as being the value obtained by using one of the aforementioned summation methods and not as the sum of an infinite series in its usual meaning. These methods have applications in other fields such as complex analysis, quantum field theory, and string theory.In a monograph on moonshine theory, Terry Gannon calls this equation "one of the most remarkable formulae in science".
Looking to sell 35 rounds of Federal Premium 12 Gauge 2 3/4in 1oz Truball Rifled HP Slugs.
All the shells are factory new and have been stored in water tight containers with desiccant.
$70 or potential trade for .44mag
Selling 10 boxes (50 rounds) of Royal Buck 12 gauge 00 buck. 2 3/4" length, 1345 fps, 9 pellet buckshot.
Pickup / meet in Portland area is fine, if shipping needed buyer pays shipping.
Hello,
I have some 12 gauge shotgun shells for sale. Before I go ahead and list/sell these on GunBroker, I figure I’d give a shot at any interest locally.
Here’s what I have:
Federal (LE132 00) - 2 3/4” - 00 Buck - 9 Pellets - Flight Control Wad — $125(50) 2 Cartons available
Federal...
Unopened case. Will trade for tx22 or other reliable .22lr pistols, 22lr, .380, 9mm, .40sw, .45 acp, .223/5.56, 7.62x39 ammo
Small Primers(any)5000ct, powder
For sale are several boxes of Remington 16 gage 2 3/4" #8 shot ammo. Price is $9.00 per box FTF here in Lebanon. Please PM me for any more intel, no text.
Remington and PMC 12 Gauge 2 3/4 #8
25 pcs per box
Trade for 9mm, 22LR, .223/5.56, .40
Please make FAIR OFFER
Will not ship but willing meet up depending on distance.
Winchester SuperX 16 Gauge 2 3/4 1 Buck Shot Loads Unplated 4 boxes 5pcs per box
Trade for 9mm, 22LR, .223/5.56, .40
Please make FAIR OFFER
Will not ship but willing meet up depending on distance.
Remington Premier STS Target Loads
28 Gauge 2 3/4 #9 Shots
2 Boxes 25 pcs per box
Trade for 9mm, 22LR, .223/5.56, .40
Please make FAIR OFFER
Will not ship but willing meet up depending on distance.
Remington Target Loads Gun Club 12 Gauge 2 3/4 #8
4 boxes 25 pcs per box.
Trade only for 9mm, 22LR, .223/5.56, .40
Please make FAIR OFFER
Will not ship but willing meet up depending on distance.
PMC 12 Gauge 2 3/4 #8
25 pcs
Trade for 9mm, 22LR, .223/5.56, .40
Please make FAIR OFFER
Will not ship but willing meet up depending on distance. Please review my other brands of 12 Gauge.
Bought accidentally in 12GA when I needed 20GA. 10 shot shells per box, 40 boxes. Pickup up from inner SE Portland. Would also trade for certain 20GA ammo. Also open to other trades! Would do ammo + cash for a p365xl, beretta92 or 96, mossberg 500 18.5" 12GA. Hit me up!