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 - Invincible Non-stop Upgrading SystemChapter 955 The finale is over
 800.9k
3.8/5(votes)
ActionAdventureFantasyMartial Arts

“Ding ~ Host has been killed, experience + 100.”

“Ding ~ The Host despises the strong, imposing manner + 100.”

“Ding ~ Host has consumed a point, you have received a modern hand grenade!”

You can cut me, but can you not cut my face? He had to rely on his face to survive!

Ye Fan had traveled through a fantasy world filled with slaughter. The system told him that he could live forever!

You are an Earth Divine Realm expert? Sorry, kill him! Are you a Heavenly Dipper Sovereign? In my eyes, it’s too trashy!

Indestructible! This world is vast and boundless, and I am the king!

- Description from Novelupdates

A Wish to Grab HappinessVolume 11, Chapter 283: The Resoluteness to Engage
 766
4.1/5(votes)
ActionAdventureDramaFantasy

Lugis is an adventurer who accompanies the Hero’s team party. However, every day he has to fulfill tasks that are not pleasant at all. In addition, he is oppressed by the other members of the group. The only reason he remains on this journey is because of his childhood friend, Ariane. But she is fascinated with the team leader known as Hero. One day a shadow figure appears and tell Lugis, “Let me give you a chance. A chance to redraw your life.” And so, Lugis is given the opportunity to be sent to the past to restart his life.

MTL - The Two-Faced Venerate EmperorChapter 1448 The finale (end) recommended a new book, "Red envelopes attack: Heaven falls to school and grabs home"
 101.9k
4.0/5(votes)
ActionAdultDramaHarem

Her – a glutton without troubles or worries who crossed over and became a young fat chick with a deep vengefulness.

Him – a young master of the number one power; a two-faced man with elegance and charming, good looks; he is the chosen one of the former saint god and a man who will only bend his back for her alone.

This domineering crossover’s slogan is, ‘Don’t touch if it is this sister’s, put it there if it isn’t this sister’s!’

…watch how the Domineering Glutton and the Two-Faced Venerate Emperor create sparks as they meet and collide, stirring the whole Spirit Treasure Continent into turmoil, how they fall for each other and how they kill each other, how life and death severs love.

- Description from Novelupdates

Pain, Pain, Go AwayAfterword
 109
4.2/5(votes)
DramaHorrorMaturePsychological

Pain, Pain, Go Away is a novel by Sugaru Miaki, also known as Fafoo, author of Starting Over and Three Days of Happiness. Unlike Miaki’s previous two books, Pain, Pain, Go Away is not a rewrite of any story posted to 2ch, but an entirely original one.

The plot involves a young man who becomes a killer (by accident) – but his victim has the power of “postponement,” temporarily delaying her death.