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 ExorcistChapter 40Book 8: : The Perfect Ending (END)
 387
3.3/5(votes)
HorrorActionRomanceSupernatural

Death is only the beginning….He is the boss of a small bar. Despite his gentle and amicable appearance, he is actually cold and detached. He was born with the ability to communicate with spirits but sealed it away, unwilling to get involved with the supernatural.She is a rather unqualified lawyer. Timid as a mouse yet hates evil with a passion. Her birthdate is inauspicious but she’s also blessed by Buddha.A weird and bloody case forced them together. Her cases grew more and more dangerous while his sealed abilities awakened and grew stronger. They were initially repulsed by each other, which turned to understanding, getting along, cooperating, and finally a mysterious yet fierce attraction. With the help of a friend, the two of them solve the city’s horror stories one after the other.

MTL - Lords Trying to Survive: Strategizing from a Rundown YardChapter 1084 : Your savior is here
 2.9M
4.0/5(votes)
Game

Upon waking up, the whole people crossed the alien world.

This is a terrifying world, almost immeasurable.

There are dragons, griffins, goblins, goblins, dwarves, and orcs.

There are also zombies, undead dens, and various mythological monsters.

Everyone is a lord, starting with a life experience, a small courtyard, and three farmers.

To get rich, start by arranging trees and gradually establishing territory.

Lords need to explore the map, occupy areas, obtain resources, develop urban construction, and conquer monster dens.

Every other month, you need to resist the looting of monster legions and various alien forces in order to survive.

Zong Shen started the game and awakened the strategy system.

Raiders will appear in everything you can see.

Help him find all the hidden treasures.

[The crooked neck tree 50 meters southeast of the territory is actually not simple. 】

[Go forward 35 steps from your current position and start digging, you will get a surprise. 】

[Don’t look, this treasure chest is a trap, and the poison gas inside will make you unconscious for three days and three nights. 】

While others were still struggling to support, Zong Shen had already built a strong city.

With countless powerful soldiers and epic heroes, resources are piled up like a mountain.

Epic dragon Nithogg: “You…Don’t come here…I will give you all the treasures!”

Chief Goblin: “I am willing to serve the adults.”

King of Avalon: “I am willing to marry my beloved little daughter to you…”

Zong Shen: “Children make choices, I want them all!”

- Description from novelbuddy

Prodigal System in the Flourishing CityChapter 623 - 621: Thorny Problem, Part 2
 998
5.0/5(votes)
ComedyRomance

Host: What is your dream?Lv Xiaobu: To eat and do nothing, to do as I please.Host: Then how did you become the world's richest man?Lv Xiaobu: How would I know? You ask a spendthrift how to make money? Really! I want to go back to sleep.Host: Please don't...Lv Xiaobu: Tip, five thousand.Host: Kneeling and sending off Young Master Xiaobu, may Young Master Xiaobu rule the world forever!Lv Xiaobu: Wahahaha!

Infinite Awakening: My Exp Doubles EverydayChapter 287: Mid-Grade Spirit Vein
 39.3k
4.5/5(votes)
EasternActionAdventureComedy

Xiang Yu was perfectly content with his mediocre life on Earth—average job, average apartment, average everything. That is, until he woke up in the legendary World of Cultivation, where martial artists fly through the skies and immortals battle over ancient treasures.There's just one problem: Xiang Yu wants absolutely NONE of that action.Armed with only his wits and a peculiar system that doubles his exp every 24 hours, Xiang Yu has one goal: become powerful enough to live in peace without getting involved in those ridiculous “protagonist” situations. No ancient tombs. No tournament arcs. And for heaven's sake, stay FAR away from anyone named Chen Mo, Lin Feng, or Li Yao—those names practically scream “main character who will drag me into deadly situations!”Starting with strength stats so pathetic he can barely lift a cultivation manual, Xiang Yu must somehow survive long enough for his exponential growth to matter. After all, doubling zero cultivation talent still equals zero... at first.Follow Xiang Yu on his hilarious journey from zero to hero as he desperately tries to stay invisible while his power skyrockets beyond control! Watch as he dodges cultivation tournaments, avoids suspicious elders bearing gifts, and runs the other way whenever someone mentions “ancient inheritance” or “chosen one.”Join the adventure of the most reluctant cultivator in history whose only wish is peace and quiet, but whose exponential growth makes him the most terrifying force this cultivation world has ever seen!