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
Rise of an ImmortalChapter 143: Teaching Through Consequences and The Girl of Steel
 34
4.3/5(votes)
ActionAdultRomanceHarem

Ethan Carter was nothing special—an average man living an average life. No great ambitions, no dreams, no love, just existing.Until a truck ended it all.But death wasn't the end for him. Waking in a peaceful void, he met Rob, a cosmic being with a twisted sense of humor. Instead of allowing Ethan to pass on, Rob gifted him an overpowered divine elixir—the Enhanced Fountain of Youth – The Divine Spring.Follow his jouney in the multiverse.--------Note: MC makes mistakes at first and learns from them later.

Unfathomable SeniorChapter 781 – Epilogue
 15k
2.0/5(votes)
ActionAdventureComedyEcchi

It all started after I received that weird email…

What? Click the boxes to select the body type?

Want me to select a starting point?

Let me put in the name and be done with this, it’s getting late…

I always was bad with Chinese names… how about… Zhang Dong … Hehe…

Wait why is everything going dark…

***

Author: I don’t own the art, first time writing anything and English isn’t my first language… so plz no bulli…

Conquering OtherWorld Starts With a GameChapter 203: Shirley
 4.3k
4.3/5(votes)
ActionComedyFantasyGame

After struggling to survive for three hundred years in another world, Yang Qiu finally returned to Earth.

However, he was shocked to find that only one day had passed in Earth time. More surprisingly, his own sister didn’t recognize him…

And what’s worse, he hadn’t escaped from that terrifying dark magic plane at all!

To save himself, he has no choice but to take on the role of a savior…

[Fourth Crisis: Influx of Gamers] A deranged black mage disguised a magic plane as a game, deceiving even more deranged Earth players to rush into this other world and wreak havoc.

Starting with just a skeleton frame, equipment is obtained through plundering… and confiscation!

Undead, bandits, calamity—a trinity of a storm from another dimension engulfing the continent of Navalon, bringing both terror and the potential for peace, justice, order, and enlightenment.

Elder gods resurrections and the void encroaches—the battle for the end of the world begins. Since the three major calamities have gathered, the only ones who can stand against them are the fourth calamity!

Simple-minded Earth players, heed my call and take up your weapons to save this dark and magical OtherWorld!

……………………………………………………………

Dear readers! Without any ads, maybe you will prefer .

Midnight SurrenderChapter 87 You are my everything (AVOT)
 1.1k
4.5/5(votes)
FantasyAdultMystery

#1 In a small town, young Daisy endures a life of suffering under the tyranny of her stepfamily and the neglect of her father. Her once loving home now a prison, she and her mother are forced to serve her father's new wife and daughters. When a proposal arrives from a wealthy but disfigured nobleman, her father, eager to protect his other daughters, condemns Daisy to a seemingly bleak fate.