This betrayal makes so much sense in hindsight the explanation had been building up piece by piece all along.
But, they do ultimately cover fairly similar ground.
In the book, Luke explains his reasoning while slowly poisoning Percy with a scorpion.
‘Didn’t you feel itthe darkness gathering, the monsters growing stronger?
Didn’t you realize how useless it all is?
All the heroicsbeing pawns of the gods.
‘That’s supposed to make me love them?
Their precious ‘Western civilization’ is a disease, Percy.
It’s killing the world.
Percy saying thatthe titan Kronosis"brainwashing"Luke only leads to latter doubling down.
He showed me that my talents are being wasted.
You know what my quest was two years ago, Percy?
After all the training I’d done,that was the best he could think up.’
‘That’s not an easy quest,’ I [Percy] said.
‘Hercules did it.’
‘Exactly,’ Luke said.
‘Where’s the glory in repeating what others have done?
All the gods know how to do is replay their past.

My heart wasn’t in it.
I wanted to pull Olympus down stone by stone right then, but I bided my time.'"
This, Luke says, was when Kronos started speaking to him in his dreams.

Luke then explains how he successfully betrayed Percy, before returning to his reasons why.
‘And this is how you repay her?’
‘Don’t speak of Thalia!’

‘The gods let her die!
That’s one of the many things they will pay for.’
‘You’re being used, Luke.

You and Ares both.
Don’t listen to Kronos.’
‘I’ve been used?’

Lukes voice turned shrill.
What has your dad ever done for you?
You’ve only delayed his plans.

He will cast the Olympians into Tartarus and drive humanity back to their caves.
All except the strongestthe ones who serve him.'"
Why Did Luke Betray Percy In The Percy Jackson Show?

Also Annabeth was present invisibly for the reveal in the show, which did not happen on the page.
Luke refuses to believe it, insisting that Kronos"opened [his] eyes to the truth."
He hopes Percy will join him and"help Kronos bring the Golden Age back."

This is where the sword fight begins.
Percy does all he can to try and turn his former friend around.
Then, Luke leaves camp.

In doing so, he goes a bit deeper into his rationale for his betrayal inThe Lightning Thief.
Can’t you imagine a world without them, Annabeth?
What good is that ancient history you study?
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Three thousand years of baggage!
The West is rotten to the core.
It has to be destroyed."
‘Give up on me?
He abandoned me, Percy!
I wanted Olympus destroyed!
Every throne crushed to rubble!'"
She was angry with Hermes for being unwilling to try and prevent it.
Season 1 ofPercy Jackson and the Olympiansis available to stream on Disney+.
She also commonly reports on Percy Jackson, Invincible, and other similar franchises.