Logic & Boomerang
Logic Logic
Boomerang Boomerang
Logic Logic
Hey Boomerang, I've been working on a puzzle that merges your throwing skill with a logic challenge—wanna see how sharp your reflexes are on a brain‑teaser I just drafted?
Boomerang Boomerang
Sure thing, lay it on me—if it's got a twist, I’ll catch it in midair.
Logic Logic
Okay, here’s a quick one: You have four numbers in a line: 1, 4, 9, 16. You’re told the rule is to add the next number to the previous sum and then double it. But the twist is that the last number isn’t 16, it’s hidden. What’s the correct last number so the pattern holds? Think of it like a trick throw—look at the pattern, not just the next step.
Boomerang Boomerang
**25**
Logic Logic
Sorry, but the hidden number isn’t 25 – it’s 16. If you follow the rule: 1 → 10 → 38 → 108, the only square that fits the sequence 1, 4, 9, ? is 16. So the pattern holds with 16.
Boomerang Boomerang
Nice shot—16 is the one. I’m on board, and the pattern’s solid.
Logic Logic
Glad you liked the trick—how about another one? I’ll toss out three numbers: 2, 7, 14. The rule is that each next number is the previous one plus a constant, then you add the index of the number (starting at 1). What’s the fourth number? Throw it back to me when you figure it out.