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
The Beautiful Boss's Personal BodyguardChapter 430 - 429
 327
4.5/5(votes)
DramaRomance

After retiring from the special forces, Ye Tian is hired by a beautiful boss as her personal bodyguard, leading to a colorful and adventurous life for him...

The Terminally Ill Young Master is the Mad Dog of the UnderworldChapter 279
 5.6k
4.0/5(votes)
ActionAdventureFantasyMartial Arts

When the Terminally Ill Noble Allenbert woke up from his fever, he realized that he was the reincarnation of Karzan, the mad dog who roamed the underworld.…But something about this place doesn’t feel right.“Allenbert, nobles need secrets and darkness.”The sinister and chilling schemes of his brother, like a snake, are suffocating him from all sides.“You’ve been causing quite a stir lately.”The powerful and authoritative eyes and ears of the head of the family are hidden everywhere, watching him.“…When will I see Mother?”Meeting his mother, who has secluded herself due to a mental illness, seems impossible.“But it’s okay.”Karzan failed, but Allenbert’s journey is just beginning.“Two lives, two revenges.”There’s no mercy.I’ll pay back with interest, and make sure it’s done properly.

In the shadows of the S Ranked Main characterChapter 40: Prism(9)
 179
4.5/5(votes)
FantasyActionRomanceAdventure

Kai was a 17-year-old dropout. A NEET. A background character in real life with nothing to his name but bitterness, novels, and guilt. After his parents died, he gave up on the world. People were fake. Dreams were pointless. And that one novel he kept reading? He hated it especially the main character, June. Perfect, noble, always standing tall. Everything Kai wasn’t.Then, one night, a voice asked: “What if you did meet June?”He said yes, half-asleep and half-mocking.Now he’s trapped in the novel. Isikeid. But he’s not June. He’s not a hero. He’s not even in the main cast.He’s an extra in the background of a world he knows too well and he’s had enough of watching things play out the same way. This time, he’s going to change everything. Whether the world likes it or not.

Closed Beta That Only I PlayedChapter 525: Juyoung Hong (52)
 1.9k
3.5/5(votes)
ActionAdventureFantasyGame

“Game user confirmation.”

-Currently game user : 1

“…….”

The 1 person the system mentions is me. That is how I could tell that this game will fail as well……. Juyeong Hong enjoys playing games more than anyone else, and is captivated by one which yields as much as the effort he puts into it, unlike his studies, where he has made no progress no matter the effort. Juyeong has bet nearly his entire life on the game and applies to be a beta tester. He is accepted for the game “Forgotten Legend” which has not been officially launched. Juyeong played with more effort than anyone and had a lot of fun, but there were seemingly no other players who had enjoyed it, so the game disappeared without a trace.

Only three closed beta tests had been done ……. Moreover, the last closed beta test involved Juyeong Hong only. Then one day, the game returned, under a new title “Revival Legend.” Then suddenly, for some unknown reason, top companies around the world begin wanting to own the rights …