Read Baka to Test to Shoukanjuu‎ - Volume 7, The Fourth Question

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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 ...

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Do You Want Me To Be The Villain Like That?? Open Your Eyes And See

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Jiang Yun died in his original world, and his spirit traveled to a cultivation world as the Holy Son of the Sacred Land of Mist. However, his new body was severely injured from being attacked by demonic cultivators and having his Sacred Bones stolen.As he was in despair, a voice from a System, known as the Villain System, sounded. Initially, he was shocked because of his experiences, which seemed like the destiny of a protagonist. However, when he discovered that his junior disciple was the true Son of Destiny and had stolen his Sacred Bones, hiding them, and was a spy for the Demonic Sect, Jiang Yun realized he was being framed. The junior disciple created false accusations against him, causing other disciples to dislike and reject him, including senior and junior disciples who shared the same master.Without hesitation, Jiang Yun decided to become the Villain. He planned for survival, gathered resources, amassed forces, and acquired subordinates. Eventually, his master decided to remove him from his position as Holy Son. He then chose to leave the Sacred Land. When he encountered an Emperor Spirit, he learned that the world was about to undergo a dramatic change in the near future. Thus, he established a Sacred Land for those who were despised and abandoned by heaven, or for those who shared his ideals.

Chapter 190: Noble Sacrifice (3) END

Royal Roader on My Own

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‘Royal Roader,’ the game that I ruled as an overlord was ending its service. Shit! It was my life’s only pleasure.

The last day! I used all of my strength and in-game connections to defeat the final boss monster, Demon Heros.

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