PREVIEW

... er

1. When n=1, equation ① is calculated as,

Left Hand Side = 1

Right Hand Side = 1

2. Assuming that n=k is valid,

1 + 3 + 5 + … + (2k-1)=k ②

When n=k+1, the left hand side of ① is written as

1 + 3 + 5 + … + (2k-1)+(2k+1)

=k + (2k+1) (Obtained from equation ①)

=(k+1)

In other words,

1 + 3 + 5 + … + (2k-1)+(2k+1)

=(k+1)

① is valid when n=k+1.

From 1. and 2., equation ① is valid for all ...

YOU MAY ALSO LIKE
Transmigrating into the Male Supporting Character’s Ex-wifeChapter 80.1: where I used Brother driver instead of Uncle driver, sorry about that hehe
 96.1k
5.0/5(votes)
ComedyDramaJoseiMystery

Ruan Jiu Jiu transmigrated into a rebirth novel, in which the female lead in her past life had an unattainable love, a white moonlight. In the novel, the white moonlight Cheng Jun was a hollow character with a pretty face but zero accomplishments, and with his cold personality was like a frigid beauty; an empty flower vase. Meanwhile, Ruan Jiu Jiu transmigrated into Cheng Jun’s ex-wife, an evil, stuck-up, female side character.

When Ruan Jiu Jiu transmigrated over, a divorce agreement was placed on the table. Cheng Jun, wet from the rain, ate a bowl of unhealthy instant noodles. Seeing that beautiful, emotionless face, Ruan Jiu Jiu suddenly couldn’t take it anymore and said that she’d wait until tomorrow to reconsider the divorce.

Later.

Ruan Jiu Jiu: Who said that he’s an idiot? Who said that he’s frigid? You’re trolling (╯‵□′)╯︵┻━┻

Actually, this is a relaxed, funny, brain dead, sweet little novel.

Able to be coaxed but can’t be forced female lead X A weak, helpless, intimidating but oblivious Big Boss.

*Has some stuff about video games, if you don’t like that then skip this

1. 100% fluff

2. Expands on a completed quick transmigration novel ~The beginning matches up a bit with that universe~

3. This novel’s ML is a bit weird because he doesn’t have a sense of self-preservation →_→

Local Netizen Elf's Life In Another WorldCase 338: Tina’s mysterious massage. (R-18)
 767
4.5/5(votes)
ActionAdventureComedyFantasy

Hanazawa Hanako was a young otaku girl, technically a hikikomori, a degenerate, and a netizen. She died though. (LOL)So naturally she got yeeted to a fantasy world to save it from the demon king.When asked what buff she want: “Just give me the whole Internet then.”

MTL - Monument of Life and DeathChapter 1093 reproduce
 18.5k
3.3/5(votes)
HorrorSupernatural

Unidentified girl, a strange and familiar world. What she was looking for was not only the secret of her life experience, but also the truth about life and death. The boundary marker that appears in the dream is an obstacle or an opportunity. After falling into the vortex of fate, how the girl will choose, guard the rules, overturn the rules, and the trajectory of the world will be completely different.

[The book is suspenseful and mysterious. The number of words is expected to be at least one million. It is definitely not supervised. The new book and the new book hope that everyone will give more opinions and be grateful for everything. ]

- Description from novelbuddy

Kyoukai Senjou no HorizonVolume 8C, Chapter 63: Late Night Stalker in the Late Night Kitchen
 952
3.5/5(votes)
ActionAdventureComedyEcchi

Kyoukai Senjou no Horizon chronicles the story of a futuristic civilization returned to Earth after constant warfare hindered them from traveling beyond the post-Apocalyptic Earth. At this stage, a small archipelago called the Divine States were the only hospitable land on Earth. In order to regain the space-faring technology they had lost after many years of war, they decided to recreate history with a book called the Testament as a guide.

It is the year 1648 in the Testament Era. Toori Aoi, Chancellor and Student Council President of the only academy on the airborne city-ship Musashi, faces the ten-year anniversary of the death of his childhood friend Horizon Ariadust in an accident. As he prepares to celebrate the occasion by proposing to P-01s (an automaton who looks exactly like Horizon) he discovers that his suspicion about P-01s’ appearance actually has a basis in truth; P-01s is in fact Horizon Ariadust, reborn into a robotic body. In addition to this, Horizon’s emotions had been stripped away and are now stored in eight powerful weapons called the Mortal Sin Armaments; which are now in the possession of key people in various established countries in the Divine States.

To retrieve the emotions of Horizon Ariadust, Toori Aoi along with his friends and allies begins a crusade against different obstacles as key events in history are recreated in a futuristic manner.