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
MTL - Magic Industry Empire (Magic Industrial Empire)v8 Chapter 118 Returning to my hometown? (End of the book)
 1.6M
3.7/5(votes)
ActionAdventureFantasyHarem

This novel is also known as Magic Industrial Empire

A prestigious senior mechanical engineer in the industry, Xu Yi was sent to a world dominated by magic.

In a world with an almost non-existent industrial system, how can Xu Yi display his value?

When magic collides with modern technology, when magic merges with machinery, that is the beginning of this story.

- Description from Novelupdates

How To Survive A CalamityChapter 196: Mark
 1.7k
3.5/5(votes)
FantasyActionAdventureComedy

“On that day, Zach Harper died-” Or at least that was how it was supposed to be. I died. But there was good news, and bad news. The good news; I was reincarnated! Transmigrated into the World of Aethoria! Holy fuck, miracles do happen! But the bad news was, “Huh? What’s this?” ... [DING!] A New Quest has been issued:- Type:- SURVIVAL Name:- Quest To Becoming Stronger: Description: The {Great Calamity} is coming...Get stronger and survive. Duration-: ... Reward:- ... Penalty:- Death, ??? ] ... I had to survive.

Harem-Powered Kingdom Building: Empire of Carnal SinChapter 64: Communion
 1.2k
4.0/5(votes)
FantasyActionAdultHarem

[Warning: r18, smut, MC does morally questionable things][Disclaimer: The Gods and Goddesses in the story's world have absolutely no relation to any Gods that are worshipped in the real world. The purpose they serve is also entirely different.]~Even if you're someone who typically doesn't enjoy works with smut, I request you to give this novel a chance (provided you're 18 or older of course). It would be awesome if you could at least read Volume 1 before deciding whether or not this is your cup of tea.~This is an action + kingdom-building story where the MC and his kingdom (Realm) are metaphorically powered by his lustful acts.The story begins with Hiro's (the MC) transmigration into a magical world. At first glance, this “World” might look quite similar to many other fantasy worlds that you've come across on your reading adventures. Status screens, levels, classes, gods, kingdoms, elves - all that good stuff.But it will soon become clear that this World has its own “Rules”. These (mostly) game-like Rules will bring out unique character interactions. They will be what differentiates the World in my story from other similar fantasy worlds.Now about the characters - specifically the main character.The MC (Hiro) will be thrust into the role of Ruler in the new World right off the bat. He starts with a bottom-tier, barebones realm and makes his way to the top.I'm going to say this right away - Hiro is a deeply flawed character at the start. Yes he might be overpowered and good at getting things he wants, but that does not make him flawless.Hiro has glaring emotional flaws at the beginning. He is intelligent but not in the emotional sense. He is lustful but not truly loving. He is apathetic towards death (both of himself and of others).The women who surround him will also have their own problems, both internal and external.As the story progresses, it won't just be the MC and his realm growing in power.Hiro and his harem will also mature emotionally. Hiro's character growth will be a slow, grueling burn. It isn't going to be a smooth straight line from point A to point B.But when it finally does happen, it will be worth it.That's all from me, your author. I hope you enjoy the ride.P.S - Power stones, golden tickets, gifts, adding this to library, reviews, comments, paragraph comments - all these things help immensely and are greatly appreciated.Thanks and Enjoy! :)

MTL - I Just Want to Be in a RelationshipChapter 97 Extra 1
 244.8k
4.9/5(votes)
DramaRomanceSlice Of LifeYaoi

In the last life,

Movie Emperor Yu listened to the company, listened to his manager,

In order not to expose his sexual orientation,

until his death, he never had a relationship,

With his rebirth, Yu Qing Huan said,

**** stardom, **** image!

Lao Zi (old me) wants to fall in love!

However, unknowingly, he had long been locked on by a hungry wolf hidden in the dark…

Bursting lucky Jin Li (Koi) shou vs naive maiden wolf gong

- Description from novelupdates