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
I Have A Dual World SealChapter 85: Liu Qingyan’s Passion for Studying Medicine
 261
4.5/5(votes)
EasternComedyXianxia

Lu Zheng possessed a jade seal which allowed him to transmigrate to an alternate world freely.Initially, he thought that the alternate world which he frequented was but an ordinary ancient civilization. With no particular ambition in mind, he planned to become a merchant and enjoyed the casual life of a rich man. He would find a few pretty maidens to accompany him while he explored the place and enjoyed various delicacies. That would be his ordinary and mundane life.His boring life lasted until the day he gave a beggar who showed up at his doorstep a meal. His jade seal obtained a strand of luck because of his action.Since then, he encountered a fox demon visiting him during the day and a beautiful ghost looking for him at night.The members of the Quanzhen Sect paid him tribute while some Buddhist monks stood in his path.So, it turned out that this world was not ordinary.

Exclusive Love: Pampered by the Scheming TycoonChapter 192: Treating Her Like a Crazy Fan
 947
4.5/5(votes)
RomanceDramaSlice Of Life

They had been married for less than a week when Lin Banxia discovered that without his embrace, she couldn’t sleep; without his love, she felt anxious; without his companionship, her emotions spiraled out of control.But then one day, she had stomach troubles!The hospital handed over a test result: Congratulations, Mrs. Huo, you’re pregnant.He said, “Give birth to my child, and we won’t just have three years together—we’ll have a lifetime!”She squinted her eyes and replied, “Mr. Huo, you’ve miscalculated. Clearly, after giving birth, you’re letting me go in three years.”“The child can’t go without a mother, and I can’t go without you. Understand?” That was Young Master Huo’s confession.

I Leveled up from Being a Parasite, But I May Have Grown Too MuchChapter 134: The Sleeping Catfish
 1.4k
3.0/5(votes)
ActionAdventureComedyDrama

Caught up in a ritual performed by a deity of another world, Eiji Choukai was then transported to another realm. The otherworldly deity responsible of the ritual looked at Eiji’s potential incarnations and quickly pulled out Classes like those from, “I Reincarnated Into a Vending Machine.”

But it seems the Classes available for the average person was not available to him. Only the “Parasite” Class was shown.

Without choice, Eiji grudgingly choose the Parasite Class.

His reincarnation into this new world seemed somewhat despondent, but after using his newfound powers, he suddenly realizes its true potential. It seems he’s able to amplify himself countless times by obtaining the powers of others. This luck of his was too good to be true. Seems his level might rise a little bit too much.

My Summons Are Mythical BeastsChapter 156: Items
 1.4k
3.3/5(votes)
ActionAdventureFantasyRomance

Demons and Beast descended, terrorizing the whole world for the past hundred years. Everyone can awaken a grimoire and summon a beast during their age of ceremony. Lucas, awakening the weakest grimoire, also awakened the weakest beast- a small dog with no combat capabilities. Fortunately, as a transmigrator, Lucas also mysteriously awakened a system that allows him to evolve his summons into their mythical beast counterpart. Follow Lucas and his journey to greatness as he evolved his beasts into never been before seen mythical creatures.